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Finding the Third Proportional to 243,338 and 524,116

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Solution

The third proportional to 243,338 and 524,116 is: 1,128,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,338 : 524,116 = 524,116 : x
  2. Step 2: Convert to fraction form
    243,338/524,116 = 524,116/x
  3. Step 3: Cross multiply
    243,338x = 524,116 × 524,116
  4. Step 4: Simplify right side
    243,338x = 274,697,581,456
  5. Step 5: Solve for x
    x = 274,697,581,456/243,338
  6. Step 6: Final answer
    x = 1,128,872.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.