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Finding the Third Proportional to 709,335 and 995,338.13

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Solution

The third proportional to 709,335 and 995,338.13 is: 1,396,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,335 : 995,338.13 = 995,338.13 : x
  2. Step 2: Convert to fraction form
    709,335/995,338.13 = 995,338.13/x
  3. Step 3: Cross multiply
    709,335x = 995,338.13 × 995,338.13
  4. Step 4: Simplify right side
    709,335x = 990,697,983,078.52
  5. Step 5: Solve for x
    x = 990,697,983,078.52/709,335
  6. Step 6: Final answer
    x = 1,396,657.41

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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.