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Finding the Third Proportional to 329,904 and 735,624

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Solution

The third proportional to 329,904 and 735,624 is: 1,640,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,904 : 735,624 = 735,624 : x
  2. Step 2: Convert to fraction form
    329,904/735,624 = 735,624/x
  3. Step 3: Cross multiply
    329,904x = 735,624 × 735,624
  4. Step 4: Simplify right side
    329,904x = 541,142,669,376
  5. Step 5: Solve for x
    x = 541,142,669,376/329,904
  6. Step 6: Final answer
    x = 1,640,303.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.