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Finding the Third Proportional to 366,914.81 and 583,723.97

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Solution

The third proportional to 366,914.81 and 583,723.97 is: 928,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,914.81 : 583,723.97 = 583,723.97 : x
  2. Step 2: Convert to fraction form
    366,914.81/583,723.97 = 583,723.97/x
  3. Step 3: Cross multiply
    366,914.81x = 583,723.97 × 583,723.97
  4. Step 4: Simplify right side
    366,914.81x = 340,733,671,693.25
  5. Step 5: Solve for x
    x = 340,733,671,693.25/366,914.81
  6. Step 6: Final answer
    x = 928,645.18

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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.