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Finding the Third Proportional to 243,868 and 532,424

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Solution

The third proportional to 243,868 and 532,424 is: 1,162,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,868 : 532,424 = 532,424 : x
  2. Step 2: Convert to fraction form
    243,868/532,424 = 532,424/x
  3. Step 3: Cross multiply
    243,868x = 532,424 × 532,424
  4. Step 4: Simplify right side
    243,868x = 283,475,315,776
  5. Step 5: Solve for x
    x = 283,475,315,776/243,868
  6. Step 6: Final answer
    x = 1,162,412.93

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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.