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Finding the Third Proportional to 296,551.13 and 699,384.38

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Solution

The third proportional to 296,551.13 and 699,384.38 is: 1,649,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,551.13 : 699,384.38 = 699,384.38 : x
  2. Step 2: Convert to fraction form
    296,551.13/699,384.38 = 699,384.38/x
  3. Step 3: Cross multiply
    296,551.13x = 699,384.38 × 699,384.38
  4. Step 4: Simplify right side
    296,551.13x = 489,138,503,994.14
  5. Step 5: Solve for x
    x = 489,138,503,994.14/296,551.13
  6. Step 6: Final answer
    x = 1,649,423.87

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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.