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Finding the Third Proportional to 314,226 and 664,846

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Solution

The third proportional to 314,226 and 664,846 is: 1,406,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,226 : 664,846 = 664,846 : x
  2. Step 2: Convert to fraction form
    314,226/664,846 = 664,846/x
  3. Step 3: Cross multiply
    314,226x = 664,846 × 664,846
  4. Step 4: Simplify right side
    314,226x = 442,020,203,716
  5. Step 5: Solve for x
    x = 442,020,203,716/314,226
  6. Step 6: Final answer
    x = 1,406,695.19

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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.