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Finding the Third Proportional to 533,671.13 and 825,445.13

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Solution

The third proportional to 533,671.13 and 825,445.13 is: 1,276,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,671.13 : 825,445.13 = 825,445.13 : x
  2. Step 2: Convert to fraction form
    533,671.13/825,445.13 = 825,445.13/x
  3. Step 3: Cross multiply
    533,671.13x = 825,445.13 × 825,445.13
  4. Step 4: Simplify right side
    533,671.13x = 681,359,654,386.27
  5. Step 5: Solve for x
    x = 681,359,654,386.27/533,671.13
  6. Step 6: Final answer
    x = 1,276,740.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.