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Finding the Third Proportional to 401,546 and 591,195

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Solution

The third proportional to 401,546 and 591,195 is: 870,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,546 : 591,195 = 591,195 : x
  2. Step 2: Convert to fraction form
    401,546/591,195 = 591,195/x
  3. Step 3: Cross multiply
    401,546x = 591,195 × 591,195
  4. Step 4: Simplify right side
    401,546x = 349,511,528,025
  5. Step 5: Solve for x
    x = 349,511,528,025/401,546
  6. Step 6: Final answer
    x = 870,414.67

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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.