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Finding the Third Proportional to 527,344 and 1,092,072.50

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Solution

The third proportional to 527,344 and 1,092,072.50 is: 2,261,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,344 : 1,092,072.50 = 1,092,072.50 : x
  2. Step 2: Convert to fraction form
    527,344/1,092,072.50 = 1,092,072.50/x
  3. Step 3: Cross multiply
    527,344x = 1,092,072.50 × 1,092,072.50
  4. Step 4: Simplify right side
    527,344x = 1,192,622,345,256.25
  5. Step 5: Solve for x
    x = 1,192,622,345,256.25/527,344
  6. Step 6: Final answer
    x = 2,261,564.26

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.