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Finding the Third Proportional to 316,496 and 682,929

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Solution

The third proportional to 316,496 and 682,929 is: 1,473,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,496 : 682,929 = 682,929 : x
  2. Step 2: Convert to fraction form
    316,496/682,929 = 682,929/x
  3. Step 3: Cross multiply
    316,496x = 682,929 × 682,929
  4. Step 4: Simplify right side
    316,496x = 466,392,019,041
  5. Step 5: Solve for x
    x = 466,392,019,041/316,496
  6. Step 6: Final answer
    x = 1,473,611.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.