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Finding the Third Proportional to 348,843 and 750,930

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Solution

The third proportional to 348,843 and 750,930 is: 1,616,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,843 : 750,930 = 750,930 : x
  2. Step 2: Convert to fraction form
    348,843/750,930 = 750,930/x
  3. Step 3: Cross multiply
    348,843x = 750,930 × 750,930
  4. Step 4: Simplify right side
    348,843x = 563,895,864,900
  5. Step 5: Solve for x
    x = 563,895,864,900/348,843
  6. Step 6: Final answer
    x = 1,616,474.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.