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Finding the Third Proportional to 650,470.50 and 1,001,068.50

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Solution

The third proportional to 650,470.50 and 1,001,068.50 is: 1,540,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,470.50 : 1,001,068.50 = 1,001,068.50 : x
  2. Step 2: Convert to fraction form
    650,470.50/1,001,068.50 = 1,001,068.50/x
  3. Step 3: Cross multiply
    650,470.50x = 1,001,068.50 × 1,001,068.50
  4. Step 4: Simplify right side
    650,470.50x = 1,002,138,141,692.25
  5. Step 5: Solve for x
    x = 1,002,138,141,692.25/650,470.50
  6. Step 6: Final answer
    x = 1,540,635.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.