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Finding the Third Proportional to 243,476 and 531,244

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Solution

The third proportional to 243,476 and 531,244 is: 1,159,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,476 : 531,244 = 531,244 : x
  2. Step 2: Convert to fraction form
    243,476/531,244 = 531,244/x
  3. Step 3: Cross multiply
    243,476x = 531,244 × 531,244
  4. Step 4: Simplify right side
    243,476x = 282,220,187,536
  5. Step 5: Solve for x
    x = 282,220,187,536/243,476
  6. Step 6: Final answer
    x = 1,159,129.39

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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.