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Finding the Third Proportional to 440,649 and 594,541

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Solution

The third proportional to 440,649 and 594,541 is: 802,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,649 : 594,541 = 594,541 : x
  2. Step 2: Convert to fraction form
    440,649/594,541 = 594,541/x
  3. Step 3: Cross multiply
    440,649x = 594,541 × 594,541
  4. Step 4: Simplify right side
    440,649x = 353,479,000,681
  5. Step 5: Solve for x
    x = 353,479,000,681/440,649
  6. Step 6: Final answer
    x = 802,178.15

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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.