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Finding the Third Proportional to 310,904 and 669,376

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Solution

The third proportional to 310,904 and 669,376 is: 1,441,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,904 : 669,376 = 669,376 : x
  2. Step 2: Convert to fraction form
    310,904/669,376 = 669,376/x
  3. Step 3: Cross multiply
    310,904x = 669,376 × 669,376
  4. Step 4: Simplify right side
    310,904x = 448,064,229,376
  5. Step 5: Solve for x
    x = 448,064,229,376/310,904
  6. Step 6: Final answer
    x = 1,441,165.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.