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Finding the Third Proportional to 329,172 and 704,999

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Solution

The third proportional to 329,172 and 704,999 is: 1,509,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,172 : 704,999 = 704,999 : x
  2. Step 2: Convert to fraction form
    329,172/704,999 = 704,999/x
  3. Step 3: Cross multiply
    329,172x = 704,999 × 704,999
  4. Step 4: Simplify right side
    329,172x = 497,023,590,001
  5. Step 5: Solve for x
    x = 497,023,590,001/329,172
  6. Step 6: Final answer
    x = 1,509,920.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.