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Finding the Third Proportional to 292,632 and 465,372

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Solution

The third proportional to 292,632 and 465,372 is: 740,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,632 : 465,372 = 465,372 : x
  2. Step 2: Convert to fraction form
    292,632/465,372 = 465,372/x
  3. Step 3: Cross multiply
    292,632x = 465,372 × 465,372
  4. Step 4: Simplify right side
    292,632x = 216,571,098,384
  5. Step 5: Solve for x
    x = 216,571,098,384/292,632
  6. Step 6: Final answer
    x = 740,080.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.