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Finding the Third Proportional to 337,376 and 508,287

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Solution

The third proportional to 337,376 and 508,287 is: 765,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,376 : 508,287 = 508,287 : x
  2. Step 2: Convert to fraction form
    337,376/508,287 = 508,287/x
  3. Step 3: Cross multiply
    337,376x = 508,287 × 508,287
  4. Step 4: Simplify right side
    337,376x = 258,355,674,369
  5. Step 5: Solve for x
    x = 258,355,674,369/337,376
  6. Step 6: Final answer
    x = 765,779.65

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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.