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Finding the Third Proportional to 442,034 and 722,564

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Solution

The third proportional to 442,034 and 722,564 is: 1,181,128.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,034 : 722,564 = 722,564 : x
  2. Step 2: Convert to fraction form
    442,034/722,564 = 722,564/x
  3. Step 3: Cross multiply
    442,034x = 722,564 × 722,564
  4. Step 4: Simplify right side
    442,034x = 522,098,734,096
  5. Step 5: Solve for x
    x = 522,098,734,096/442,034
  6. Step 6: Final answer
    x = 1,181,128.00

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.