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Finding the Third Proportional to 295,926 and 647,214

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Solution

The third proportional to 295,926 and 647,214 is: 1,415,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,926 : 647,214 = 647,214 : x
  2. Step 2: Convert to fraction form
    295,926/647,214 = 647,214/x
  3. Step 3: Cross multiply
    295,926x = 647,214 × 647,214
  4. Step 4: Simplify right side
    295,926x = 418,885,961,796
  5. Step 5: Solve for x
    x = 418,885,961,796/295,926
  6. Step 6: Final answer
    x = 1,415,509.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.