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Finding the Third Proportional to 709,354.50 and 995,365.50

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Solution

The third proportional to 709,354.50 and 995,365.50 is: 1,396,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,354.50 : 995,365.50 = 995,365.50 : x
  2. Step 2: Convert to fraction form
    709,354.50/995,365.50 = 995,365.50/x
  3. Step 3: Cross multiply
    709,354.50x = 995,365.50 × 995,365.50
  4. Step 4: Simplify right side
    709,354.50x = 990,752,478,590.25
  5. Step 5: Solve for x
    x = 990,752,478,590.25/709,354.50
  6. Step 6: Final answer
    x = 1,396,695.84

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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.