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Finding the Third Proportional to 401,422.50 and 591,045

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Solution

The third proportional to 401,422.50 and 591,045 is: 870,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,422.50 : 591,045 = 591,045 : x
  2. Step 2: Convert to fraction form
    401,422.50/591,045 = 591,045/x
  3. Step 3: Cross multiply
    401,422.50x = 591,045 × 591,045
  4. Step 4: Simplify right side
    401,422.50x = 349,334,192,025
  5. Step 5: Solve for x
    x = 349,334,192,025/401,422.50
  6. Step 6: Final answer
    x = 870,240.69

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