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Finding the Third Proportional to 285,890.75 and 608,758

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Solution

The third proportional to 285,890.75 and 608,758 is: 1,296,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,890.75 : 608,758 = 608,758 : x
  2. Step 2: Convert to fraction form
    285,890.75/608,758 = 608,758/x
  3. Step 3: Cross multiply
    285,890.75x = 608,758 × 608,758
  4. Step 4: Simplify right side
    285,890.75x = 370,586,302,564
  5. Step 5: Solve for x
    x = 370,586,302,564/285,890.75
  6. Step 6: Final answer
    x = 1,296,251.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.