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Finding the Third Proportional to 339,132.25 and 524,877

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Solution

The third proportional to 339,132.25 and 524,877 is: 812,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,132.25 : 524,877 = 524,877 : x
  2. Step 2: Convert to fraction form
    339,132.25/524,877 = 524,877/x
  3. Step 3: Cross multiply
    339,132.25x = 524,877 × 524,877
  4. Step 4: Simplify right side
    339,132.25x = 275,495,865,129
  5. Step 5: Solve for x
    x = 275,495,865,129/339,132.25
  6. Step 6: Final answer
    x = 812,355.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.