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Finding the Third Proportional to 295,133.27 and 625,734.15

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Solution

The third proportional to 295,133.27 and 625,734.15 is: 1,326,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,133.27 : 625,734.15 = 625,734.15 : x
  2. Step 2: Convert to fraction form
    295,133.27/625,734.15 = 625,734.15/x
  3. Step 3: Cross multiply
    295,133.27x = 625,734.15 × 625,734.15
  4. Step 4: Simplify right side
    295,133.27x = 391,543,227,805.28
  5. Step 5: Solve for x
    x = 391,543,227,805.28/295,133.27
  6. Step 6: Final answer
    x = 1,326,665.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.