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Finding the Third Proportional to 363,080 and 549,543

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Solution

The third proportional to 363,080 and 549,543 is: 831,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,080 : 549,543 = 549,543 : x
  2. Step 2: Convert to fraction form
    363,080/549,543 = 549,543/x
  3. Step 3: Cross multiply
    363,080x = 549,543 × 549,543
  4. Step 4: Simplify right side
    363,080x = 301,997,508,849
  5. Step 5: Solve for x
    x = 301,997,508,849/363,080
  6. Step 6: Final answer
    x = 831,765.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.