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Finding the Third Proportional to 440,964 and 700,830

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Solution

The third proportional to 440,964 and 700,830 is: 1,113,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,964 : 700,830 = 700,830 : x
  2. Step 2: Convert to fraction form
    440,964/700,830 = 700,830/x
  3. Step 3: Cross multiply
    440,964x = 700,830 × 700,830
  4. Step 4: Simplify right side
    440,964x = 491,162,688,900
  5. Step 5: Solve for x
    x = 491,162,688,900/440,964
  6. Step 6: Final answer
    x = 1,113,838.52

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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.