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Finding the Third Proportional to 440,642.81 and 594,531.56

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Solution

The third proportional to 440,642.81 and 594,531.56 is: 802,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,642.81 : 594,531.56 = 594,531.56 : x
  2. Step 2: Convert to fraction form
    440,642.81/594,531.56 = 594,531.56/x
  3. Step 3: Cross multiply
    440,642.81x = 594,531.56 × 594,531.56
  4. Step 4: Simplify right side
    440,642.81x = 353,467,778,808.69
  5. Step 5: Solve for x
    x = 353,467,778,808.69/440,642.81
  6. Step 6: Final answer
    x = 802,163.95

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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.