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Finding the Third Proportional to 337,374 and 508,284

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Solution

The third proportional to 337,374 and 508,284 is: 765,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,374 : 508,284 = 508,284 : x
  2. Step 2: Convert to fraction form
    337,374/508,284 = 508,284/x
  3. Step 3: Cross multiply
    337,374x = 508,284 × 508,284
  4. Step 4: Simplify right side
    337,374x = 258,352,624,656
  5. Step 5: Solve for x
    x = 258,352,624,656/337,374
  6. Step 6: Final answer
    x = 765,775.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.