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Finding the Third Proportional to 597,514 and 896,920

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Solution

The third proportional to 597,514 and 896,920 is: 1,346,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,514 : 896,920 = 896,920 : x
  2. Step 2: Convert to fraction form
    597,514/896,920 = 896,920/x
  3. Step 3: Cross multiply
    597,514x = 896,920 × 896,920
  4. Step 4: Simplify right side
    597,514x = 804,465,486,400
  5. Step 5: Solve for x
    x = 804,465,486,400/597,514
  6. Step 6: Final answer
    x = 1,346,354.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.