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Finding the Third Proportional to 652,447.50 and 918,776.25

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Solution

The third proportional to 652,447.50 and 918,776.25 is: 1,293,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,447.50 : 918,776.25 = 918,776.25 : x
  2. Step 2: Convert to fraction form
    652,447.50/918,776.25 = 918,776.25/x
  3. Step 3: Cross multiply
    652,447.50x = 918,776.25 × 918,776.25
  4. Step 4: Simplify right side
    652,447.50x = 844,149,797,564.06
  5. Step 5: Solve for x
    x = 844,149,797,564.06/652,447.50
  6. Step 6: Final answer
    x = 1,293,820.27

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.