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Finding the Third Proportional to 247,951.13 and 559,051.88

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Solution

The third proportional to 247,951.13 and 559,051.88 is: 1,260,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,951.13 : 559,051.88 = 559,051.88 : x
  2. Step 2: Convert to fraction form
    247,951.13/559,051.88 = 559,051.88/x
  3. Step 3: Cross multiply
    247,951.13x = 559,051.88 × 559,051.88
  4. Step 4: Simplify right side
    247,951.13x = 312,538,998,941.02
  5. Step 5: Solve for x
    x = 312,538,998,941.02/247,951.13
  6. Step 6: Final answer
    x = 1,260,486.31

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.