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Finding the Third Proportional to 336,915 and 748,566

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Solution

The third proportional to 336,915 and 748,566 is: 1,663,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,915 : 748,566 = 748,566 : x
  2. Step 2: Convert to fraction form
    336,915/748,566 = 748,566/x
  3. Step 3: Cross multiply
    336,915x = 748,566 × 748,566
  4. Step 4: Simplify right side
    336,915x = 560,351,056,356
  5. Step 5: Solve for x
    x = 560,351,056,356/336,915
  6. Step 6: Final answer
    x = 1,663,182.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.