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Finding the Third Proportional to 296,818 and 699,960

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Solution

The third proportional to 296,818 and 699,960 is: 1,650,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,818 : 699,960 = 699,960 : x
  2. Step 2: Convert to fraction form
    296,818/699,960 = 699,960/x
  3. Step 3: Cross multiply
    296,818x = 699,960 × 699,960
  4. Step 4: Simplify right side
    296,818x = 489,944,001,600
  5. Step 5: Solve for x
    x = 489,944,001,600/296,818
  6. Step 6: Final answer
    x = 1,650,654.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.