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Finding the Third Proportional to 389,062 and 583,592

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Solution

The third proportional to 389,062 and 583,592 is: 875,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,062 : 583,592 = 583,592 : x
  2. Step 2: Convert to fraction form
    389,062/583,592 = 583,592/x
  3. Step 3: Cross multiply
    389,062x = 583,592 × 583,592
  4. Step 4: Simplify right side
    389,062x = 340,579,622,464
  5. Step 5: Solve for x
    x = 340,579,622,464/389,062
  6. Step 6: Final answer
    x = 875,386.50

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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.