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Finding the Third Proportional to 534,385 and 852,121.50

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Solution

The third proportional to 534,385 and 852,121.50 is: 1,358,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,385 : 852,121.50 = 852,121.50 : x
  2. Step 2: Convert to fraction form
    534,385/852,121.50 = 852,121.50/x
  3. Step 3: Cross multiply
    534,385x = 852,121.50 × 852,121.50
  4. Step 4: Simplify right side
    534,385x = 726,111,050,762.25
  5. Step 5: Solve for x
    x = 726,111,050,762.25/534,385
  6. Step 6: Final answer
    x = 1,358,778.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.