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Finding the Third Proportional to 243,349 and 524,140

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Solution

The third proportional to 243,349 and 524,140 is: 1,128,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,349 : 524,140 = 524,140 : x
  2. Step 2: Convert to fraction form
    243,349/524,140 = 524,140/x
  3. Step 3: Cross multiply
    243,349x = 524,140 × 524,140
  4. Step 4: Simplify right side
    243,349x = 274,722,739,600
  5. Step 5: Solve for x
    x = 274,722,739,600/243,349
  6. Step 6: Final answer
    x = 1,128,924.88

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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.