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Finding the Third Proportional to 597,306 and 924,849

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Solution

The third proportional to 597,306 and 924,849 is: 1,432,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,306 : 924,849 = 924,849 : x
  2. Step 2: Convert to fraction form
    597,306/924,849 = 924,849/x
  3. Step 3: Cross multiply
    597,306x = 924,849 × 924,849
  4. Step 4: Simplify right side
    597,306x = 855,345,672,801
  5. Step 5: Solve for x
    x = 855,345,672,801/597,306
  6. Step 6: Final answer
    x = 1,432,005.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.