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Finding the Third Proportional to 447,255 and 958,419

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Solution

The third proportional to 447,255 and 958,419 is: 2,053,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,255 : 958,419 = 958,419 : x
  2. Step 2: Convert to fraction form
    447,255/958,419 = 958,419/x
  3. Step 3: Cross multiply
    447,255x = 958,419 × 958,419
  4. Step 4: Simplify right side
    447,255x = 918,566,979,561
  5. Step 5: Solve for x
    x = 918,566,979,561/447,255
  6. Step 6: Final answer
    x = 2,053,788.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.