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Finding the Third Proportional to 329,230 and 721,373

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Solution

The third proportional to 329,230 and 721,373 is: 1,580,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,230 : 721,373 = 721,373 : x
  2. Step 2: Convert to fraction form
    329,230/721,373 = 721,373/x
  3. Step 3: Cross multiply
    329,230x = 721,373 × 721,373
  4. Step 4: Simplify right side
    329,230x = 520,379,005,129
  5. Step 5: Solve for x
    x = 520,379,005,129/329,230
  6. Step 6: Final answer
    x = 1,580,594.13

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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.