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Finding the Third Proportional to 401,550 and 591,222

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Solution

The third proportional to 401,550 and 591,222 is: 870,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,550 : 591,222 = 591,222 : x
  2. Step 2: Convert to fraction form
    401,550/591,222 = 591,222/x
  3. Step 3: Cross multiply
    401,550x = 591,222 × 591,222
  4. Step 4: Simplify right side
    401,550x = 349,543,453,284
  5. Step 5: Solve for x
    x = 349,543,453,284/401,550
  6. Step 6: Final answer
    x = 870,485.50

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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.