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Finding the Third Proportional to 457,827.75 and 725,503.50

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Solution

The third proportional to 457,827.75 and 725,503.50 is: 1,149,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,827.75 : 725,503.50 = 725,503.50 : x
  2. Step 2: Convert to fraction form
    457,827.75/725,503.50 = 725,503.50/x
  3. Step 3: Cross multiply
    457,827.75x = 725,503.50 × 725,503.50
  4. Step 4: Simplify right side
    457,827.75x = 526,355,328,512.25
  5. Step 5: Solve for x
    x = 526,355,328,512.25/457,827.75
  6. Step 6: Final answer
    x = 1,149,679.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.