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Finding the Third Proportional to 379,297.69 and 806,869.69

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Solution

The third proportional to 379,297.69 and 806,869.69 is: 1,716,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,297.69 : 806,869.69 = 806,869.69 : x
  2. Step 2: Convert to fraction form
    379,297.69/806,869.69 = 806,869.69/x
  3. Step 3: Cross multiply
    379,297.69x = 806,869.69 × 806,869.69
  4. Step 4: Simplify right side
    379,297.69x = 651,038,692,606.35
  5. Step 5: Solve for x
    x = 651,038,692,606.35/379,297.69
  6. Step 6: Final answer
    x = 1,716,432.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.