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Finding the Third Proportional to 549,868.50 and 828,321.19

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Solution

The third proportional to 549,868.50 and 828,321.19 is: 1,247,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,868.50 : 828,321.19 = 828,321.19 : x
  2. Step 2: Convert to fraction form
    549,868.50/828,321.19 = 828,321.19/x
  3. Step 3: Cross multiply
    549,868.50x = 828,321.19 × 828,321.19
  4. Step 4: Simplify right side
    549,868.50x = 686,115,989,661.41
  5. Step 5: Solve for x
    x = 686,115,989,661.41/549,868.50
  6. Step 6: Final answer
    x = 1,247,781.95

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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.