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Finding the Third Proportional to 337,032 and 506,412

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Solution

The third proportional to 337,032 and 506,412 is: 760,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,032 : 506,412 = 506,412 : x
  2. Step 2: Convert to fraction form
    337,032/506,412 = 506,412/x
  3. Step 3: Cross multiply
    337,032x = 506,412 × 506,412
  4. Step 4: Simplify right side
    337,032x = 256,453,113,744
  5. Step 5: Solve for x
    x = 256,453,113,744/337,032
  6. Step 6: Final answer
    x = 760,916.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.