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Finding the Third Proportional to 439,152.75 and 655,074

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Solution

The third proportional to 439,152.75 and 655,074 is: 977,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,152.75 : 655,074 = 655,074 : x
  2. Step 2: Convert to fraction form
    439,152.75/655,074 = 655,074/x
  3. Step 3: Cross multiply
    439,152.75x = 655,074 × 655,074
  4. Step 4: Simplify right side
    439,152.75x = 429,121,945,476
  5. Step 5: Solve for x
    x = 429,121,945,476/439,152.75
  6. Step 6: Final answer
    x = 977,158.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.