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Finding the Third Proportional to 354,840.75 and 814,384.13

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Solution

The third proportional to 354,840.75 and 814,384.13 is: 1,869,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,840.75 : 814,384.13 = 814,384.13 : x
  2. Step 2: Convert to fraction form
    354,840.75/814,384.13 = 814,384.13/x
  3. Step 3: Cross multiply
    354,840.75x = 814,384.13 × 814,384.13
  4. Step 4: Simplify right side
    354,840.75x = 663,221,503,052.02
  5. Step 5: Solve for x
    x = 663,221,503,052.02/354,840.75
  6. Step 6: Final answer
    x = 1,869,068.03

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.