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Finding the Third Proportional to 282,275 and 605,482

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Solution

The third proportional to 282,275 and 605,482 is: 1,298,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,275 : 605,482 = 605,482 : x
  2. Step 2: Convert to fraction form
    282,275/605,482 = 605,482/x
  3. Step 3: Cross multiply
    282,275x = 605,482 × 605,482
  4. Step 4: Simplify right side
    282,275x = 366,608,452,324
  5. Step 5: Solve for x
    x = 366,608,452,324/282,275
  6. Step 6: Final answer
    x = 1,298,763.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.