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Finding the Third Proportional to 406,982.25 and 884,002.50

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Solution

The third proportional to 406,982.25 and 884,002.50 is: 1,920,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,982.25 : 884,002.50 = 884,002.50 : x
  2. Step 2: Convert to fraction form
    406,982.25/884,002.50 = 884,002.50/x
  3. Step 3: Cross multiply
    406,982.25x = 884,002.50 × 884,002.50
  4. Step 4: Simplify right side
    406,982.25x = 781,460,420,006.25
  5. Step 5: Solve for x
    x = 781,460,420,006.25/406,982.25
  6. Step 6: Final answer
    x = 1,920,133.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.