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Finding the Third Proportional to 247,779 and 549,949.50

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Solution

The third proportional to 247,779 and 549,949.50 is: 1,220,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,779 : 549,949.50 = 549,949.50 : x
  2. Step 2: Convert to fraction form
    247,779/549,949.50 = 549,949.50/x
  3. Step 3: Cross multiply
    247,779x = 549,949.50 × 549,949.50
  4. Step 4: Simplify right side
    247,779x = 302,444,452,550.25
  5. Step 5: Solve for x
    x = 302,444,452,550.25/247,779
  6. Step 6: Final answer
    x = 1,220,621.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.