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Finding the Third Proportional to 536,699.25 and 787,002.75

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Solution

The third proportional to 536,699.25 and 787,002.75 is: 1,154,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,699.25 : 787,002.75 = 787,002.75 : x
  2. Step 2: Convert to fraction form
    536,699.25/787,002.75 = 787,002.75/x
  3. Step 3: Cross multiply
    536,699.25x = 787,002.75 × 787,002.75
  4. Step 4: Simplify right side
    536,699.25x = 619,373,328,507.56
  5. Step 5: Solve for x
    x = 619,373,328,507.56/536,699.25
  6. Step 6: Final answer
    x = 1,154,041.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.