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Finding the Third Proportional to 709,340 and 995,346

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Solution

The third proportional to 709,340 and 995,346 is: 1,396,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,340 : 995,346 = 995,346 : x
  2. Step 2: Convert to fraction form
    709,340/995,346 = 995,346/x
  3. Step 3: Cross multiply
    709,340x = 995,346 × 995,346
  4. Step 4: Simplify right side
    709,340x = 990,713,659,716
  5. Step 5: Solve for x
    x = 990,713,659,716/709,340
  6. Step 6: Final answer
    x = 1,396,669.66

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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.