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Finding the Third Proportional to 715,357.50 and 1,074,420

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Solution

The third proportional to 715,357.50 and 1,074,420 is: 1,613,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,357.50 : 1,074,420 = 1,074,420 : x
  2. Step 2: Convert to fraction form
    715,357.50/1,074,420 = 1,074,420/x
  3. Step 3: Cross multiply
    715,357.50x = 1,074,420 × 1,074,420
  4. Step 4: Simplify right side
    715,357.50x = 1,154,378,336,400
  5. Step 5: Solve for x
    x = 1,154,378,336,400/715,357.50
  6. Step 6: Final answer
    x = 1,613,708.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.