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Finding the Third Proportional to 243,865 and 532,418

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Solution

The third proportional to 243,865 and 532,418 is: 1,162,401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,865 : 532,418 = 532,418 : x
  2. Step 2: Convert to fraction form
    243,865/532,418 = 532,418/x
  3. Step 3: Cross multiply
    243,865x = 532,418 × 532,418
  4. Step 4: Simplify right side
    243,865x = 283,468,926,724
  5. Step 5: Solve for x
    x = 283,468,926,724/243,865
  6. Step 6: Final answer
    x = 1,162,401.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.