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Finding the Third Proportional to 286,584 and 451,860

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Solution

The third proportional to 286,584 and 451,860 is: 712,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,584 : 451,860 = 451,860 : x
  2. Step 2: Convert to fraction form
    286,584/451,860 = 451,860/x
  3. Step 3: Cross multiply
    286,584x = 451,860 × 451,860
  4. Step 4: Simplify right side
    286,584x = 204,177,459,600
  5. Step 5: Solve for x
    x = 204,177,459,600/286,584
  6. Step 6: Final answer
    x = 712,452.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.