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Finding the Third Proportional to 282,787.50 and 606,055

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Solution

The third proportional to 282,787.50 and 606,055 is: 1,298,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,787.50 : 606,055 = 606,055 : x
  2. Step 2: Convert to fraction form
    282,787.50/606,055 = 606,055/x
  3. Step 3: Cross multiply
    282,787.50x = 606,055 × 606,055
  4. Step 4: Simplify right side
    282,787.50x = 367,302,663,025
  5. Step 5: Solve for x
    x = 367,302,663,025/282,787.50
  6. Step 6: Final answer
    x = 1,298,864.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.