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Finding the Third Proportional to 252,463.50 and 544,293

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Solution

The third proportional to 252,463.50 and 544,293 is: 1,173,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,463.50 : 544,293 = 544,293 : x
  2. Step 2: Convert to fraction form
    252,463.50/544,293 = 544,293/x
  3. Step 3: Cross multiply
    252,463.50x = 544,293 × 544,293
  4. Step 4: Simplify right side
    252,463.50x = 296,254,869,849
  5. Step 5: Solve for x
    x = 296,254,869,849/252,463.50
  6. Step 6: Final answer
    x = 1,173,456.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.