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Finding the Third Proportional to 330,863 and 700,726

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Solution

The third proportional to 330,863 and 700,726 is: 1,484,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,863 : 700,726 = 700,726 : x
  2. Step 2: Convert to fraction form
    330,863/700,726 = 700,726/x
  3. Step 3: Cross multiply
    330,863x = 700,726 × 700,726
  4. Step 4: Simplify right side
    330,863x = 491,016,927,076
  5. Step 5: Solve for x
    x = 491,016,927,076/330,863
  6. Step 6: Final answer
    x = 1,484,049.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.