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Finding the Third Proportional to 652,353.75 and 975,493.13

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Solution

The third proportional to 652,353.75 and 975,493.13 is: 1,458,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,353.75 : 975,493.13 = 975,493.13 : x
  2. Step 2: Convert to fraction form
    652,353.75/975,493.13 = 975,493.13/x
  3. Step 3: Cross multiply
    652,353.75x = 975,493.13 × 975,493.13
  4. Step 4: Simplify right side
    652,353.75x = 951,586,836,922.27
  5. Step 5: Solve for x
    x = 951,586,836,922.27/652,353.75
  6. Step 6: Final answer
    x = 1,458,697.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.