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Finding the Third Proportional to 344,815.50 and 731,098.50

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Solution

The third proportional to 344,815.50 and 731,098.50 is: 1,550,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,815.50 : 731,098.50 = 731,098.50 : x
  2. Step 2: Convert to fraction form
    344,815.50/731,098.50 = 731,098.50/x
  3. Step 3: Cross multiply
    344,815.50x = 731,098.50 × 731,098.50
  4. Step 4: Simplify right side
    344,815.50x = 534,505,016,702.25
  5. Step 5: Solve for x
    x = 534,505,016,702.25/344,815.50
  6. Step 6: Final answer
    x = 1,550,118.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.