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Finding the Third Proportional to 366,720 and 583,523

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Solution

The third proportional to 366,720 and 583,523 is: 928,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,720 : 583,523 = 583,523 : x
  2. Step 2: Convert to fraction form
    366,720/583,523 = 583,523/x
  3. Step 3: Cross multiply
    366,720x = 583,523 × 583,523
  4. Step 4: Simplify right side
    366,720x = 340,499,091,529
  5. Step 5: Solve for x
    x = 340,499,091,529/366,720
  6. Step 6: Final answer
    x = 928,498.83

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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.