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Finding the Third Proportional to 452,058.75 and 700,742.25

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Solution

The third proportional to 452,058.75 and 700,742.25 is: 1,086,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,058.75 : 700,742.25 = 700,742.25 : x
  2. Step 2: Convert to fraction form
    452,058.75/700,742.25 = 700,742.25/x
  3. Step 3: Cross multiply
    452,058.75x = 700,742.25 × 700,742.25
  4. Step 4: Simplify right side
    452,058.75x = 491,039,700,935.06
  5. Step 5: Solve for x
    x = 491,039,700,935.06/452,058.75
  6. Step 6: Final answer
    x = 1,086,229.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.