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Finding the Third Proportional to 282,290 and 608,907

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Solution

The third proportional to 282,290 and 608,907 is: 1,313,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,290 : 608,907 = 608,907 : x
  2. Step 2: Convert to fraction form
    282,290/608,907 = 608,907/x
  3. Step 3: Cross multiply
    282,290x = 608,907 × 608,907
  4. Step 4: Simplify right side
    282,290x = 370,767,734,649
  5. Step 5: Solve for x
    x = 370,767,734,649/282,290
  6. Step 6: Final answer
    x = 1,313,428.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.