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Finding the Third Proportional to 296,768 and 699,853

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Solution

The third proportional to 296,768 and 699,853 is: 1,650,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,768 : 699,853 = 699,853 : x
  2. Step 2: Convert to fraction form
    296,768/699,853 = 699,853/x
  3. Step 3: Cross multiply
    296,768x = 699,853 × 699,853
  4. Step 4: Simplify right side
    296,768x = 489,794,221,609
  5. Step 5: Solve for x
    x = 489,794,221,609/296,768
  6. Step 6: Final answer
    x = 1,650,428.02

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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.