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Finding the Third Proportional to 290,374 and 616,006

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Solution

The third proportional to 290,374 and 616,006 is: 1,306,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,374 : 616,006 = 616,006 : x
  2. Step 2: Convert to fraction form
    290,374/616,006 = 616,006/x
  3. Step 3: Cross multiply
    290,374x = 616,006 × 616,006
  4. Step 4: Simplify right side
    290,374x = 379,463,392,036
  5. Step 5: Solve for x
    x = 379,463,392,036/290,374
  6. Step 6: Final answer
    x = 1,306,809.12

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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.