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Finding the Third Proportional to 450,463 and 606,743

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Solution

The third proportional to 450,463 and 606,743 is: 817,241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,463 : 606,743 = 606,743 : x
  2. Step 2: Convert to fraction form
    450,463/606,743 = 606,743/x
  3. Step 3: Cross multiply
    450,463x = 606,743 × 606,743
  4. Step 4: Simplify right side
    450,463x = 368,137,068,049
  5. Step 5: Solve for x
    x = 368,137,068,049/450,463
  6. Step 6: Final answer
    x = 817,241.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.