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Finding the Third Proportional to 527,919 and 849,982.50

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Solution

The third proportional to 527,919 and 849,982.50 is: 1,368,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,919 : 849,982.50 = 849,982.50 : x
  2. Step 2: Convert to fraction form
    527,919/849,982.50 = 849,982.50/x
  3. Step 3: Cross multiply
    527,919x = 849,982.50 × 849,982.50
  4. Step 4: Simplify right side
    527,919x = 722,470,250,306.25
  5. Step 5: Solve for x
    x = 722,470,250,306.25/527,919
  6. Step 6: Final answer
    x = 1,368,524.81

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.