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Finding the Third Proportional to 337,034 and 506,415

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Solution

The third proportional to 337,034 and 506,415 is: 760,920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,034 : 506,415 = 506,415 : x
  2. Step 2: Convert to fraction form
    337,034/506,415 = 506,415/x
  3. Step 3: Cross multiply
    337,034x = 506,415 × 506,415
  4. Step 4: Simplify right side
    337,034x = 256,456,152,225
  5. Step 5: Solve for x
    x = 256,456,152,225/337,034
  6. Step 6: Final answer
    x = 760,920.71

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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.