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Finding the Third Proportional to 366,960 and 583,793

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Solution

The third proportional to 366,960 and 583,793 is: 928,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,960 : 583,793 = 583,793 : x
  2. Step 2: Convert to fraction form
    366,960/583,793 = 583,793/x
  3. Step 3: Cross multiply
    366,960x = 583,793 × 583,793
  4. Step 4: Simplify right side
    366,960x = 340,814,266,849
  5. Step 5: Solve for x
    x = 340,814,266,849/366,960
  6. Step 6: Final answer
    x = 928,750.45

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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.