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Finding the Third Proportional to 447,520.50 and 932,580

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Solution

The third proportional to 447,520.50 and 932,580 is: 1,943,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,520.50 : 932,580 = 932,580 : x
  2. Step 2: Convert to fraction form
    447,520.50/932,580 = 932,580/x
  3. Step 3: Cross multiply
    447,520.50x = 932,580 × 932,580
  4. Step 4: Simplify right side
    447,520.50x = 869,705,456,400
  5. Step 5: Solve for x
    x = 869,705,456,400/447,520.50
  6. Step 6: Final answer
    x = 1,943,386.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.