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Finding the Third Proportional to 507,084 and 779,496

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Solution

The third proportional to 507,084 and 779,496 is: 1,198,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,084 : 779,496 = 779,496 : x
  2. Step 2: Convert to fraction form
    507,084/779,496 = 779,496/x
  3. Step 3: Cross multiply
    507,084x = 779,496 × 779,496
  4. Step 4: Simplify right side
    507,084x = 607,614,014,016
  5. Step 5: Solve for x
    x = 607,614,014,016/507,084
  6. Step 6: Final answer
    x = 1,198,251.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.