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Finding the Third Proportional to 290,360.50 and 442,922

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Solution

The third proportional to 290,360.50 and 442,922 is: 675,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,360.50 : 442,922 = 442,922 : x
  2. Step 2: Convert to fraction form
    290,360.50/442,922 = 442,922/x
  3. Step 3: Cross multiply
    290,360.50x = 442,922 × 442,922
  4. Step 4: Simplify right side
    290,360.50x = 196,179,898,084
  5. Step 5: Solve for x
    x = 196,179,898,084/290,360.50
  6. Step 6: Final answer
    x = 675,642.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.