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Finding the Third Proportional to 363,082 and 549,546

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Solution

The third proportional to 363,082 and 549,546 is: 831,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,082 : 549,546 = 549,546 : x
  2. Step 2: Convert to fraction form
    363,082/549,546 = 549,546/x
  3. Step 3: Cross multiply
    363,082x = 549,546 × 549,546
  4. Step 4: Simplify right side
    363,082x = 302,000,806,116
  5. Step 5: Solve for x
    x = 302,000,806,116/363,082
  6. Step 6: Final answer
    x = 831,770.25

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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.