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Finding the Third Proportional to 458,414 and 700,797

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Solution

The third proportional to 458,414 and 700,797 is: 1,071,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,414 : 700,797 = 700,797 : x
  2. Step 2: Convert to fraction form
    458,414/700,797 = 700,797/x
  3. Step 3: Cross multiply
    458,414x = 700,797 × 700,797
  4. Step 4: Simplify right side
    458,414x = 491,116,435,209
  5. Step 5: Solve for x
    x = 491,116,435,209/458,414
  6. Step 6: Final answer
    x = 1,071,338.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.