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Finding the Third Proportional to 429,188 and 663,510

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Solution

The third proportional to 429,188 and 663,510 is: 1,025,763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,188 : 663,510 = 663,510 : x
  2. Step 2: Convert to fraction form
    429,188/663,510 = 663,510/x
  3. Step 3: Cross multiply
    429,188x = 663,510 × 663,510
  4. Step 4: Simplify right side
    429,188x = 440,245,520,100
  5. Step 5: Solve for x
    x = 440,245,520,100/429,188
  6. Step 6: Final answer
    x = 1,025,763.81

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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.