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Finding the Third Proportional to 441,561 and 700,347

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Solution

The third proportional to 441,561 and 700,347 is: 1,110,799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,561 : 700,347 = 700,347 : x
  2. Step 2: Convert to fraction form
    441,561/700,347 = 700,347/x
  3. Step 3: Cross multiply
    441,561x = 700,347 × 700,347
  4. Step 4: Simplify right side
    441,561x = 490,485,920,409
  5. Step 5: Solve for x
    x = 490,485,920,409/441,561
  6. Step 6: Final answer
    x = 1,110,799.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.