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Finding the Third Proportional to 581,208 and 1,251,475.50

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Solution

The third proportional to 581,208 and 1,251,475.50 is: 2,694,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,208 : 1,251,475.50 = 1,251,475.50 : x
  2. Step 2: Convert to fraction form
    581,208/1,251,475.50 = 1,251,475.50/x
  3. Step 3: Cross multiply
    581,208x = 1,251,475.50 × 1,251,475.50
  4. Step 4: Simplify right side
    581,208x = 1,566,190,927,100.25
  5. Step 5: Solve for x
    x = 1,566,190,927,100.25/581,208
  6. Step 6: Final answer
    x = 2,694,716.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.