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Finding the Third Proportional to 301,781 and 452,708

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Solution

The third proportional to 301,781 and 452,708 is: 679,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,781 : 452,708 = 452,708 : x
  2. Step 2: Convert to fraction form
    301,781/452,708 = 452,708/x
  3. Step 3: Cross multiply
    301,781x = 452,708 × 452,708
  4. Step 4: Simplify right side
    301,781x = 204,944,533,264
  5. Step 5: Solve for x
    x = 204,944,533,264/301,781
  6. Step 6: Final answer
    x = 679,116.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.