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Finding the Third Proportional to 365,828 and 549,716

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Solution

The third proportional to 365,828 and 549,716 is: 826,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,828 : 549,716 = 549,716 : x
  2. Step 2: Convert to fraction form
    365,828/549,716 = 549,716/x
  3. Step 3: Cross multiply
    365,828x = 549,716 × 549,716
  4. Step 4: Simplify right side
    365,828x = 302,187,680,656
  5. Step 5: Solve for x
    x = 302,187,680,656/365,828
  6. Step 6: Final answer
    x = 826,037.59

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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.