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Finding the Third Proportional to 394,804.13 and 562,681.69

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Solution

The third proportional to 394,804.13 and 562,681.69 is: 801,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,804.13 : 562,681.69 = 562,681.69 : x
  2. Step 2: Convert to fraction form
    394,804.13/562,681.69 = 562,681.69/x
  3. Step 3: Cross multiply
    394,804.13x = 562,681.69 × 562,681.69
  4. Step 4: Simplify right side
    394,804.13x = 316,610,681,447.85
  5. Step 5: Solve for x
    x = 316,610,681,447.85/394,804.13
  6. Step 6: Final answer
    x = 801,943.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.