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Finding the Third Proportional to 290,376 and 616,010

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Solution

The third proportional to 290,376 and 616,010 is: 1,306,817.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,376 : 616,010 = 616,010 : x
  2. Step 2: Convert to fraction form
    290,376/616,010 = 616,010/x
  3. Step 3: Cross multiply
    290,376x = 616,010 × 616,010
  4. Step 4: Simplify right side
    290,376x = 379,468,320,100
  5. Step 5: Solve for x
    x = 379,468,320,100/290,376
  6. Step 6: Final answer
    x = 1,306,817.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.