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Finding the Third Proportional to 290,776 and 592,244

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Solution

The third proportional to 290,776 and 592,244 is: 1,206,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,776 : 592,244 = 592,244 : x
  2. Step 2: Convert to fraction form
    290,776/592,244 = 592,244/x
  3. Step 3: Cross multiply
    290,776x = 592,244 × 592,244
  4. Step 4: Simplify right side
    290,776x = 350,752,955,536
  5. Step 5: Solve for x
    x = 350,752,955,536/290,776
  6. Step 6: Final answer
    x = 1,206,265.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.