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Finding the Third Proportional to 338,175 and 506,331

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Solution

The third proportional to 338,175 and 506,331 is: 758,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,175 : 506,331 = 506,331 : x
  2. Step 2: Convert to fraction form
    338,175/506,331 = 506,331/x
  3. Step 3: Cross multiply
    338,175x = 506,331 × 506,331
  4. Step 4: Simplify right side
    338,175x = 256,371,081,561
  5. Step 5: Solve for x
    x = 256,371,081,561/338,175
  6. Step 6: Final answer
    x = 758,101.82

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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.