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Finding the Third Proportional to 301,788 and 452,718

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Solution

The third proportional to 301,788 and 452,718 is: 679,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,788 : 452,718 = 452,718 : x
  2. Step 2: Convert to fraction form
    301,788/452,718 = 452,718/x
  3. Step 3: Cross multiply
    301,788x = 452,718 × 452,718
  4. Step 4: Simplify right side
    301,788x = 204,953,587,524
  5. Step 5: Solve for x
    x = 204,953,587,524/301,788
  6. Step 6: Final answer
    x = 679,131.00

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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.