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Finding the Third Proportional to 454,449 and 672,886.50

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Solution

The third proportional to 454,449 and 672,886.50 is: 996,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,449 : 672,886.50 = 672,886.50 : x
  2. Step 2: Convert to fraction form
    454,449/672,886.50 = 672,886.50/x
  3. Step 3: Cross multiply
    454,449x = 672,886.50 × 672,886.50
  4. Step 4: Simplify right side
    454,449x = 452,776,241,882.25
  5. Step 5: Solve for x
    x = 452,776,241,882.25/454,449
  6. Step 6: Final answer
    x = 996,319.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.