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Finding the Third Proportional to 467,140.50 and 731,838

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Solution

The third proportional to 467,140.50 and 731,838 is: 1,146,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,140.50 : 731,838 = 731,838 : x
  2. Step 2: Convert to fraction form
    467,140.50/731,838 = 731,838/x
  3. Step 3: Cross multiply
    467,140.50x = 731,838 × 731,838
  4. Step 4: Simplify right side
    467,140.50x = 535,586,858,244
  5. Step 5: Solve for x
    x = 535,586,858,244/467,140.50
  6. Step 6: Final answer
    x = 1,146,522.00

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.