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Finding the Third Proportional to 337,792 and 475,034

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Solution

The third proportional to 337,792 and 475,034 is: 668,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,792 : 475,034 = 475,034 : x
  2. Step 2: Convert to fraction form
    337,792/475,034 = 475,034/x
  3. Step 3: Cross multiply
    337,792x = 475,034 × 475,034
  4. Step 4: Simplify right side
    337,792x = 225,657,301,156
  5. Step 5: Solve for x
    x = 225,657,301,156/337,792
  6. Step 6: Final answer
    x = 668,036.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.