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Finding the Third Proportional to 440,649 and 594,540

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Solution

The third proportional to 440,649 and 594,540 is: 802,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,649 : 594,540 = 594,540 : x
  2. Step 2: Convert to fraction form
    440,649/594,540 = 594,540/x
  3. Step 3: Cross multiply
    440,649x = 594,540 × 594,540
  4. Step 4: Simplify right side
    440,649x = 353,477,811,600
  5. Step 5: Solve for x
    x = 353,477,811,600/440,649
  6. Step 6: Final answer
    x = 802,175.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.