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Finding the Third Proportional to 410,778 and 549,450

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Solution

The third proportional to 410,778 and 549,450 is: 734,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,778 : 549,450 = 549,450 : x
  2. Step 2: Convert to fraction form
    410,778/549,450 = 549,450/x
  3. Step 3: Cross multiply
    410,778x = 549,450 × 549,450
  4. Step 4: Simplify right side
    410,778x = 301,895,302,500
  5. Step 5: Solve for x
    x = 301,895,302,500/410,778
  6. Step 6: Final answer
    x = 734,935.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.