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Finding the Third Proportional to 709,334 and 995,337

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Solution

The third proportional to 709,334 and 995,337 is: 1,396,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,334 : 995,337 = 995,337 : x
  2. Step 2: Convert to fraction form
    709,334/995,337 = 995,337/x
  3. Step 3: Cross multiply
    709,334x = 995,337 × 995,337
  4. Step 4: Simplify right side
    709,334x = 990,695,743,569
  5. Step 5: Solve for x
    x = 990,695,743,569/709,334
  6. Step 6: Final answer
    x = 1,396,656.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.