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Finding the Third Proportional to 389,071.13 and 583,606.69

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Solution

The third proportional to 389,071.13 and 583,606.69 is: 875,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,071.13 : 583,606.69 = 583,606.69 : x
  2. Step 2: Convert to fraction form
    389,071.13/583,606.69 = 583,606.69/x
  3. Step 3: Cross multiply
    389,071.13x = 583,606.69 × 583,606.69
  4. Step 4: Simplify right side
    389,071.13x = 340,596,765,694.72
  5. Step 5: Solve for x
    x = 340,596,765,694.72/389,071.13
  6. Step 6: Final answer
    x = 875,410.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.