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Finding the Third Proportional to 347,464 and 522,032

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Solution

The third proportional to 347,464 and 522,032 is: 784,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,464 : 522,032 = 522,032 : x
  2. Step 2: Convert to fraction form
    347,464/522,032 = 522,032/x
  3. Step 3: Cross multiply
    347,464x = 522,032 × 522,032
  4. Step 4: Simplify right side
    347,464x = 272,517,409,024
  5. Step 5: Solve for x
    x = 272,517,409,024/347,464
  6. Step 6: Final answer
    x = 784,304.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.