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Finding the Third Proportional to 287,719 and 435,577

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Solution

The third proportional to 287,719 and 435,577 is: 659,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,719 : 435,577 = 435,577 : x
  2. Step 2: Convert to fraction form
    287,719/435,577 = 435,577/x
  3. Step 3: Cross multiply
    287,719x = 435,577 × 435,577
  4. Step 4: Simplify right side
    287,719x = 189,727,322,929
  5. Step 5: Solve for x
    x = 189,727,322,929/287,719
  6. Step 6: Final answer
    x = 659,418.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.