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Finding the Third Proportional to 478,024 and 733,748

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Solution

The third proportional to 478,024 and 733,748 is: 1,126,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,024 : 733,748 = 733,748 : x
  2. Step 2: Convert to fraction form
    478,024/733,748 = 733,748/x
  3. Step 3: Cross multiply
    478,024x = 733,748 × 733,748
  4. Step 4: Simplify right side
    478,024x = 538,386,127,504
  5. Step 5: Solve for x
    x = 538,386,127,504/478,024
  6. Step 6: Final answer
    x = 1,126,274.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.