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Finding the Third Proportional to 447,257 and 958,423

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Solution

The third proportional to 447,257 and 958,423 is: 2,053,796.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,257 : 958,423 = 958,423 : x
  2. Step 2: Convert to fraction form
    447,257/958,423 = 958,423/x
  3. Step 3: Cross multiply
    447,257x = 958,423 × 958,423
  4. Step 4: Simplify right side
    447,257x = 918,574,646,929
  5. Step 5: Solve for x
    x = 918,574,646,929/447,257
  6. Step 6: Final answer
    x = 2,053,796.02

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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.