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Finding the Third Proportional to 265,047.19 and 625,608.56

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Solution

The third proportional to 265,047.19 and 625,608.56 is: 1,476,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,047.19 : 625,608.56 = 625,608.56 : x
  2. Step 2: Convert to fraction form
    265,047.19/625,608.56 = 625,608.56/x
  3. Step 3: Cross multiply
    265,047.19x = 625,608.56 × 625,608.56
  4. Step 4: Simplify right side
    265,047.19x = 391,386,073,473.32
  5. Step 5: Solve for x
    x = 391,386,073,473.32/265,047.19
  6. Step 6: Final answer
    x = 1,476,665.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.