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Finding the Third Proportional to 650,901 and 1,007,752.50

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Solution

The third proportional to 650,901 and 1,007,752.50 is: 1,560,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,901 : 1,007,752.50 = 1,007,752.50 : x
  2. Step 2: Convert to fraction form
    650,901/1,007,752.50 = 1,007,752.50/x
  3. Step 3: Cross multiply
    650,901x = 1,007,752.50 × 1,007,752.50
  4. Step 4: Simplify right side
    650,901x = 1,015,565,101,256.25
  5. Step 5: Solve for x
    x = 1,015,565,101,256.25/650,901
  6. Step 6: Final answer
    x = 1,560,245.11

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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.