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Finding the Third Proportional to 290,332 and 444,142

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Solution

The third proportional to 290,332 and 444,142 is: 679,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,332 : 444,142 = 444,142 : x
  2. Step 2: Convert to fraction form
    290,332/444,142 = 444,142/x
  3. Step 3: Cross multiply
    290,332x = 444,142 × 444,142
  4. Step 4: Simplify right side
    290,332x = 197,262,116,164
  5. Step 5: Solve for x
    x = 197,262,116,164/290,332
  6. Step 6: Final answer
    x = 679,436.36

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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.