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Finding the Third Proportional to 262,778 and 595,709

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Solution

The third proportional to 262,778 and 595,709 is: 1,350,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,778 : 595,709 = 595,709 : x
  2. Step 2: Convert to fraction form
    262,778/595,709 = 595,709/x
  3. Step 3: Cross multiply
    262,778x = 595,709 × 595,709
  4. Step 4: Simplify right side
    262,778x = 354,869,212,681
  5. Step 5: Solve for x
    x = 354,869,212,681/262,778
  6. Step 6: Final answer
    x = 1,350,452.52

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.