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Finding the Third Proportional to 532,880 and 797,700

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Solution

The third proportional to 532,880 and 797,700 is: 1,194,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,880 : 797,700 = 797,700 : x
  2. Step 2: Convert to fraction form
    532,880/797,700 = 797,700/x
  3. Step 3: Cross multiply
    532,880x = 797,700 × 797,700
  4. Step 4: Simplify right side
    532,880x = 636,325,290,000
  5. Step 5: Solve for x
    x = 636,325,290,000/532,880
  6. Step 6: Final answer
    x = 1,194,124.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.