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Finding the Third Proportional to 526,840 and 1,142,255.50

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Solution

The third proportional to 526,840 and 1,142,255.50 is: 2,476,553.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,840 : 1,142,255.50 = 1,142,255.50 : x
  2. Step 2: Convert to fraction form
    526,840/1,142,255.50 = 1,142,255.50/x
  3. Step 3: Cross multiply
    526,840x = 1,142,255.50 × 1,142,255.50
  4. Step 4: Simplify right side
    526,840x = 1,304,747,627,280.25
  5. Step 5: Solve for x
    x = 1,304,747,627,280.25/526,840
  6. Step 6: Final answer
    x = 2,476,553.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.