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Finding the Third Proportional to 291,280 and 632,384

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Solution

The third proportional to 291,280 and 632,384 is: 1,372,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,280 : 632,384 = 632,384 : x
  2. Step 2: Convert to fraction form
    291,280/632,384 = 632,384/x
  3. Step 3: Cross multiply
    291,280x = 632,384 × 632,384
  4. Step 4: Simplify right side
    291,280x = 399,909,523,456
  5. Step 5: Solve for x
    x = 399,909,523,456/291,280
  6. Step 6: Final answer
    x = 1,372,938.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.