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Finding the Third Proportional to 322,718 and 700,624

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Solution

The third proportional to 322,718 and 700,624 is: 1,521,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,718 : 700,624 = 700,624 : x
  2. Step 2: Convert to fraction form
    322,718/700,624 = 700,624/x
  3. Step 3: Cross multiply
    322,718x = 700,624 × 700,624
  4. Step 4: Simplify right side
    322,718x = 490,873,989,376
  5. Step 5: Solve for x
    x = 490,873,989,376/322,718
  6. Step 6: Final answer
    x = 1,521,061.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.