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Finding the Third Proportional to 507,038 and 779,422

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Solution

The third proportional to 507,038 and 779,422 is: 1,198,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,038 : 779,422 = 779,422 : x
  2. Step 2: Convert to fraction form
    507,038/779,422 = 779,422/x
  3. Step 3: Cross multiply
    507,038x = 779,422 × 779,422
  4. Step 4: Simplify right side
    507,038x = 607,498,654,084
  5. Step 5: Solve for x
    x = 607,498,654,084/507,038
  6. Step 6: Final answer
    x = 1,198,132.40

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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.