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Finding the Third Proportional to 247,725 and 544,779

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Solution

The third proportional to 247,725 and 544,779 is: 1,198,038.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,725 : 544,779 = 544,779 : x
  2. Step 2: Convert to fraction form
    247,725/544,779 = 544,779/x
  3. Step 3: Cross multiply
    247,725x = 544,779 × 544,779
  4. Step 4: Simplify right side
    247,725x = 296,784,158,841
  5. Step 5: Solve for x
    x = 296,784,158,841/247,725
  6. Step 6: Final answer
    x = 1,198,038.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.