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Finding the Third Proportional to 653,769 and 900,301.50

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Solution

The third proportional to 653,769 and 900,301.50 is: 1,239,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,769 : 900,301.50 = 900,301.50 : x
  2. Step 2: Convert to fraction form
    653,769/900,301.50 = 900,301.50/x
  3. Step 3: Cross multiply
    653,769x = 900,301.50 × 900,301.50
  4. Step 4: Simplify right side
    653,769x = 810,542,790,902.25
  5. Step 5: Solve for x
    x = 810,542,790,902.25/653,769
  6. Step 6: Final answer
    x = 1,239,799.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.