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Finding the Third Proportional to 440,594 and 700,257

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Solution

The third proportional to 440,594 and 700,257 is: 1,112,951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,594 : 700,257 = 700,257 : x
  2. Step 2: Convert to fraction form
    440,594/700,257 = 700,257/x
  3. Step 3: Cross multiply
    440,594x = 700,257 × 700,257
  4. Step 4: Simplify right side
    440,594x = 490,359,866,049
  5. Step 5: Solve for x
    x = 490,359,866,049/440,594
  6. Step 6: Final answer
    x = 1,112,951.76

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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.