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Finding the Third Proportional to 483,624 and 762,534

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Solution

The third proportional to 483,624 and 762,534 is: 1,202,293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,624 : 762,534 = 762,534 : x
  2. Step 2: Convert to fraction form
    483,624/762,534 = 762,534/x
  3. Step 3: Cross multiply
    483,624x = 762,534 × 762,534
  4. Step 4: Simplify right side
    483,624x = 581,458,101,156
  5. Step 5: Solve for x
    x = 581,458,101,156/483,624
  6. Step 6: Final answer
    x = 1,202,293.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.