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Finding the Third Proportional to 330,058 and 721,940

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Solution

The third proportional to 330,058 and 721,940 is: 1,579,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,058 : 721,940 = 721,940 : x
  2. Step 2: Convert to fraction form
    330,058/721,940 = 721,940/x
  3. Step 3: Cross multiply
    330,058x = 721,940 × 721,940
  4. Step 4: Simplify right side
    330,058x = 521,197,363,600
  5. Step 5: Solve for x
    x = 521,197,363,600/330,058
  6. Step 6: Final answer
    x = 1,579,108.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.