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Finding the Third Proportional to 341,409 and 527,512.50

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Solution

The third proportional to 341,409 and 527,512.50 is: 815,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,409 : 527,512.50 = 527,512.50 : x
  2. Step 2: Convert to fraction form
    341,409/527,512.50 = 527,512.50/x
  3. Step 3: Cross multiply
    341,409x = 527,512.50 × 527,512.50
  4. Step 4: Simplify right side
    341,409x = 278,269,437,656.25
  5. Step 5: Solve for x
    x = 278,269,437,656.25/341,409
  6. Step 6: Final answer
    x = 815,061.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.