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Finding the Third Proportional to 282,900 and 618,288

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Solution

The third proportional to 282,900 and 618,288 is: 1,351,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,900 : 618,288 = 618,288 : x
  2. Step 2: Convert to fraction form
    282,900/618,288 = 618,288/x
  3. Step 3: Cross multiply
    282,900x = 618,288 × 618,288
  4. Step 4: Simplify right side
    282,900x = 382,280,050,944
  5. Step 5: Solve for x
    x = 382,280,050,944/282,900
  6. Step 6: Final answer
    x = 1,351,290.39

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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.