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Finding the Third Proportional to 282,790 and 608,924

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Solution

The third proportional to 282,790 and 608,924 is: 1,311,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,790 : 608,924 = 608,924 : x
  2. Step 2: Convert to fraction form
    282,790/608,924 = 608,924/x
  3. Step 3: Cross multiply
    282,790x = 608,924 × 608,924
  4. Step 4: Simplify right side
    282,790x = 370,788,437,776
  5. Step 5: Solve for x
    x = 370,788,437,776/282,790
  6. Step 6: Final answer
    x = 1,311,179.45

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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.