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Finding the Third Proportional to 265,251.38 and 579,980.25

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Solution

The third proportional to 265,251.38 and 579,980.25 is: 1,268,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,251.38 : 579,980.25 = 579,980.25 : x
  2. Step 2: Convert to fraction form
    265,251.38/579,980.25 = 579,980.25/x
  3. Step 3: Cross multiply
    265,251.38x = 579,980.25 × 579,980.25
  4. Step 4: Simplify right side
    265,251.38x = 336,377,090,390.06
  5. Step 5: Solve for x
    x = 336,377,090,390.06/265,251.38
  6. Step 6: Final answer
    x = 1,268,144.57

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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.