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Finding the Third Proportional to 475,881.75 and 737,221.50

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Solution

The third proportional to 475,881.75 and 737,221.50 is: 1,142,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,881.75 : 737,221.50 = 737,221.50 : x
  2. Step 2: Convert to fraction form
    475,881.75/737,221.50 = 737,221.50/x
  3. Step 3: Cross multiply
    475,881.75x = 737,221.50 × 737,221.50
  4. Step 4: Simplify right side
    475,881.75x = 543,495,540,062.25
  5. Step 5: Solve for x
    x = 543,495,540,062.25/475,881.75
  6. Step 6: Final answer
    x = 1,142,081.07

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