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Finding the Third Proportional to 738,256 and 1,156,591

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Solution

The third proportional to 738,256 and 1,156,591 is: 1,811,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,256 : 1,156,591 = 1,156,591 : x
  2. Step 2: Convert to fraction form
    738,256/1,156,591 = 1,156,591/x
  3. Step 3: Cross multiply
    738,256x = 1,156,591 × 1,156,591
  4. Step 4: Simplify right side
    738,256x = 1,337,702,741,281
  5. Step 5: Solve for x
    x = 1,337,702,741,281/738,256
  6. Step 6: Final answer
    x = 1,811,976.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.