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Finding the Third Proportional to 366,948 and 583,775

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Solution

The third proportional to 366,948 and 583,775 is: 928,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,948 : 583,775 = 583,775 : x
  2. Step 2: Convert to fraction form
    366,948/583,775 = 583,775/x
  3. Step 3: Cross multiply
    366,948x = 583,775 × 583,775
  4. Step 4: Simplify right side
    366,948x = 340,793,250,625
  5. Step 5: Solve for x
    x = 340,793,250,625/366,948
  6. Step 6: Final answer
    x = 928,723.55

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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.