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Finding the Third Proportional to 254,349 and 393,657.75

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Solution

The third proportional to 254,349 and 393,657.75 is: 609,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,349 : 393,657.75 = 393,657.75 : x
  2. Step 2: Convert to fraction form
    254,349/393,657.75 = 393,657.75/x
  3. Step 3: Cross multiply
    254,349x = 393,657.75 × 393,657.75
  4. Step 4: Simplify right side
    254,349x = 154,966,424,135.06
  5. Step 5: Solve for x
    x = 154,966,424,135.06/254,349
  6. Step 6: Final answer
    x = 609,266.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.