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Finding the Third Proportional to 492,344,122.50 and 779,614,449.75

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Solution

The third proportional to 492,344,122.50 and 779,614,449.75 is: 1,234,499,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,344,122.50 : 779,614,449.75 = 779,614,449.75 : x
  2. Step 2: Convert to fraction form
    492,344,122.50/779,614,449.75 = 779,614,449.75/x
  3. Step 3: Cross multiply
    492,344,122.50x = 779,614,449.75 × 779,614,449.75
  4. Step 4: Simplify right side
    492,344,122.50x = 607,798,690,258,995,328
  5. Step 5: Solve for x
    x = 607,798,690,258,995,328/492,344,122.50
  6. Step 6: Final answer
    x = 1,234,499,738.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.