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Finding the Third Proportional to 597,624 and 885,743

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Solution

The third proportional to 597,624 and 885,743 is: 1,312,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,624 : 885,743 = 885,743 : x
  2. Step 2: Convert to fraction form
    597,624/885,743 = 885,743/x
  3. Step 3: Cross multiply
    597,624x = 885,743 × 885,743
  4. Step 4: Simplify right side
    597,624x = 784,540,662,049
  5. Step 5: Solve for x
    x = 784,540,662,049/597,624
  6. Step 6: Final answer
    x = 1,312,766.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.