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Finding the Third Proportional to 532,990.50 and 704,229.75

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Solution

The third proportional to 532,990.50 and 704,229.75 is: 930,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,990.50 : 704,229.75 = 704,229.75 : x
  2. Step 2: Convert to fraction form
    532,990.50/704,229.75 = 704,229.75/x
  3. Step 3: Cross multiply
    532,990.50x = 704,229.75 × 704,229.75
  4. Step 4: Simplify right side
    532,990.50x = 495,939,540,785.06
  5. Step 5: Solve for x
    x = 495,939,540,785.06/532,990.50
  6. Step 6: Final answer
    x = 930,484.77

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.