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Finding the Third Proportional to 564,732 and 791,532

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Solution

The third proportional to 564,732 and 791,532 is: 1,109,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,732 : 791,532 = 791,532 : x
  2. Step 2: Convert to fraction form
    564,732/791,532 = 791,532/x
  3. Step 3: Cross multiply
    564,732x = 791,532 × 791,532
  4. Step 4: Simplify right side
    564,732x = 626,522,907,024
  5. Step 5: Solve for x
    x = 626,522,907,024/564,732
  6. Step 6: Final answer
    x = 1,109,416.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.