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Finding the Third Proportional to 265,854.38 and 583,373.25

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Solution

The third proportional to 265,854.38 and 583,373.25 is: 1,280,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,854.38 : 583,373.25 = 583,373.25 : x
  2. Step 2: Convert to fraction form
    265,854.38/583,373.25 = 583,373.25/x
  3. Step 3: Cross multiply
    265,854.38x = 583,373.25 × 583,373.25
  4. Step 4: Simplify right side
    265,854.38x = 340,324,348,815.56
  5. Step 5: Solve for x
    x = 340,324,348,815.56/265,854.38
  6. Step 6: Final answer
    x = 1,280,115.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.