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Finding the Third Proportional to 492,344,085 and 779,614,393.50

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Solution

The third proportional to 492,344,085 and 779,614,393.50 is: 1,234,499,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,344,085 : 779,614,393.50 = 779,614,393.50 : x
  2. Step 2: Convert to fraction form
    492,344,085/779,614,393.50 = 779,614,393.50/x
  3. Step 3: Cross multiply
    492,344,085x = 779,614,393.50 × 779,614,393.50
  4. Step 4: Simplify right side
    492,344,085x = 607,798,602,552,372,864
  5. Step 5: Solve for x
    x = 607,798,602,552,372,864/492,344,085
  6. Step 6: Final answer
    x = 1,234,499,653.94

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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.