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Finding the Third Proportional to 345,324 and 814,026

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Solution

The third proportional to 345,324 and 814,026 is: 1,918,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,324 : 814,026 = 814,026 : x
  2. Step 2: Convert to fraction form
    345,324/814,026 = 814,026/x
  3. Step 3: Cross multiply
    345,324x = 814,026 × 814,026
  4. Step 4: Simplify right side
    345,324x = 662,638,328,676
  5. Step 5: Solve for x
    x = 662,638,328,676/345,324
  6. Step 6: Final answer
    x = 1,918,888.72

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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.