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Finding the Third Proportional to 597,304 and 924,846

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Solution

The third proportional to 597,304 and 924,846 is: 1,432,001.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,304 : 924,846 = 924,846 : x
  2. Step 2: Convert to fraction form
    597,304/924,846 = 924,846/x
  3. Step 3: Cross multiply
    597,304x = 924,846 × 924,846
  4. Step 4: Simplify right side
    597,304x = 855,340,123,716
  5. Step 5: Solve for x
    x = 855,340,123,716/597,304
  6. Step 6: Final answer
    x = 1,432,001.33

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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.