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Finding the Third Proportional to 286,708 and 455,488

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Solution

The third proportional to 286,708 and 455,488 is: 723,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,708 : 455,488 = 455,488 : x
  2. Step 2: Convert to fraction form
    286,708/455,488 = 455,488/x
  3. Step 3: Cross multiply
    286,708x = 455,488 × 455,488
  4. Step 4: Simplify right side
    286,708x = 207,469,318,144
  5. Step 5: Solve for x
    x = 207,469,318,144/286,708
  6. Step 6: Final answer
    x = 723,625.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.