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Finding the Third Proportional to 401,460.75 and 591,102

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Solution

The third proportional to 401,460.75 and 591,102 is: 870,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,460.75 : 591,102 = 591,102 : x
  2. Step 2: Convert to fraction form
    401,460.75/591,102 = 591,102/x
  3. Step 3: Cross multiply
    401,460.75x = 591,102 × 591,102
  4. Step 4: Simplify right side
    401,460.75x = 349,401,574,404
  5. Step 5: Solve for x
    x = 349,401,574,404/401,460.75
  6. Step 6: Final answer
    x = 870,325.62

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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.