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Finding the Third Proportional to 322,926 and 700,284

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Solution

The third proportional to 322,926 and 700,284 is: 1,518,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,926 : 700,284 = 700,284 : x
  2. Step 2: Convert to fraction form
    322,926/700,284 = 700,284/x
  3. Step 3: Cross multiply
    322,926x = 700,284 × 700,284
  4. Step 4: Simplify right side
    322,926x = 490,397,680,656
  5. Step 5: Solve for x
    x = 490,397,680,656/322,926
  6. Step 6: Final answer
    x = 1,518,606.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.