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Finding the Third Proportional to 343,691 and 812,624

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Solution

The third proportional to 343,691 and 812,624 is: 1,921,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,691 : 812,624 = 812,624 : x
  2. Step 2: Convert to fraction form
    343,691/812,624 = 812,624/x
  3. Step 3: Cross multiply
    343,691x = 812,624 × 812,624
  4. Step 4: Simplify right side
    343,691x = 660,357,765,376
  5. Step 5: Solve for x
    x = 660,357,765,376/343,691
  6. Step 6: Final answer
    x = 1,921,370.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.