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Finding the Third Proportional to 474,388 and 733,748

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Solution

The third proportional to 474,388 and 733,748 is: 1,134,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,388 : 733,748 = 733,748 : x
  2. Step 2: Convert to fraction form
    474,388/733,748 = 733,748/x
  3. Step 3: Cross multiply
    474,388x = 733,748 × 733,748
  4. Step 4: Simplify right side
    474,388x = 538,386,127,504
  5. Step 5: Solve for x
    x = 538,386,127,504/474,388
  6. Step 6: Final answer
    x = 1,134,906.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.