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Finding the Third Proportional to 401,496.75 and 591,148.13

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Solution

The third proportional to 401,496.75 and 591,148.13 is: 870,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,496.75 : 591,148.13 = 591,148.13 : x
  2. Step 2: Convert to fraction form
    401,496.75/591,148.13 = 591,148.13/x
  3. Step 3: Cross multiply
    401,496.75x = 591,148.13 × 591,148.13
  4. Step 4: Simplify right side
    401,496.75x = 349,456,105,691.02
  5. Step 5: Solve for x
    x = 349,456,105,691.02/401,496.75
  6. Step 6: Final answer
    x = 870,383.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.