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Finding the Third Proportional to 652,476 and 998,212.50

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Solution

The third proportional to 652,476 and 998,212.50 is: 1,527,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,476 : 998,212.50 = 998,212.50 : x
  2. Step 2: Convert to fraction form
    652,476/998,212.50 = 998,212.50/x
  3. Step 3: Cross multiply
    652,476x = 998,212.50 × 998,212.50
  4. Step 4: Simplify right side
    652,476x = 996,428,195,156.25
  5. Step 5: Solve for x
    x = 996,428,195,156.25/652,476
  6. Step 6: Final answer
    x = 1,527,149.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.