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Finding the Third Proportional to 628,705.13 and 995,964.19

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Solution

The third proportional to 628,705.13 and 995,964.19 is: 1,577,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,705.13 : 995,964.19 = 995,964.19 : x
  2. Step 2: Convert to fraction form
    628,705.13/995,964.19 = 995,964.19/x
  3. Step 3: Cross multiply
    628,705.13x = 995,964.19 × 995,964.19
  4. Step 4: Simplify right side
    628,705.13x = 991,944,662,782.54
  5. Step 5: Solve for x
    x = 991,944,662,782.54/628,705.13
  6. Step 6: Final answer
    x = 1,577,758.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.