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Finding the Third Proportional to 401,428.50 and 591,054

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Solution

The third proportional to 401,428.50 and 591,054 is: 870,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,428.50 : 591,054 = 591,054 : x
  2. Step 2: Convert to fraction form
    401,428.50/591,054 = 591,054/x
  3. Step 3: Cross multiply
    401,428.50x = 591,054 × 591,054
  4. Step 4: Simplify right side
    401,428.50x = 349,344,830,916
  5. Step 5: Solve for x
    x = 349,344,830,916/401,428.50
  6. Step 6: Final answer
    x = 870,254.18

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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.