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Finding the Third Proportional to 282,310 and 605,564

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Solution

The third proportional to 282,310 and 605,564 is: 1,298,954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,310 : 605,564 = 605,564 : x
  2. Step 2: Convert to fraction form
    282,310/605,564 = 605,564/x
  3. Step 3: Cross multiply
    282,310x = 605,564 × 605,564
  4. Step 4: Simplify right side
    282,310x = 366,707,758,096
  5. Step 5: Solve for x
    x = 366,707,758,096/282,310
  6. Step 6: Final answer
    x = 1,298,954.19

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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.