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Finding the Third Proportional to 389,074 and 583,612

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Solution

The third proportional to 389,074 and 583,612 is: 875,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,074 : 583,612 = 583,612 : x
  2. Step 2: Convert to fraction form
    389,074/583,612 = 583,612/x
  3. Step 3: Cross multiply
    389,074x = 583,612 × 583,612
  4. Step 4: Simplify right side
    389,074x = 340,602,966,544
  5. Step 5: Solve for x
    x = 340,602,966,544/389,074
  6. Step 6: Final answer
    x = 875,419.50

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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.