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Finding the Third Proportional to 365,802 and 549,675

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Solution

The third proportional to 365,802 and 549,675 is: 825,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,802 : 549,675 = 549,675 : x
  2. Step 2: Convert to fraction form
    365,802/549,675 = 549,675/x
  3. Step 3: Cross multiply
    365,802x = 549,675 × 549,675
  4. Step 4: Simplify right side
    365,802x = 302,142,605,625
  5. Step 5: Solve for x
    x = 302,142,605,625/365,802
  6. Step 6: Final answer
    x = 825,973.08

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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.