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Finding the Third Proportional to 401,048 and 535,188

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Solution

The third proportional to 401,048 and 535,188 is: 714,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,048 : 535,188 = 535,188 : x
  2. Step 2: Convert to fraction form
    401,048/535,188 = 535,188/x
  3. Step 3: Cross multiply
    401,048x = 535,188 × 535,188
  4. Step 4: Simplify right side
    401,048x = 286,426,195,344
  5. Step 5: Solve for x
    x = 286,426,195,344/401,048
  6. Step 6: Final answer
    x = 714,194.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.