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Finding the Third Proportional to 243,762 and 532,236

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Solution

The third proportional to 243,762 and 532,236 is: 1,162,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,762 : 532,236 = 532,236 : x
  2. Step 2: Convert to fraction form
    243,762/532,236 = 532,236/x
  3. Step 3: Cross multiply
    243,762x = 532,236 × 532,236
  4. Step 4: Simplify right side
    243,762x = 283,275,159,696
  5. Step 5: Solve for x
    x = 283,275,159,696/243,762
  6. Step 6: Final answer
    x = 1,162,097.29

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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.