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Finding the Third Proportional to 254,097 and 552,478.50

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Solution

The third proportional to 254,097 and 552,478.50 is: 1,201,243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,097 : 552,478.50 = 552,478.50 : x
  2. Step 2: Convert to fraction form
    254,097/552,478.50 = 552,478.50/x
  3. Step 3: Cross multiply
    254,097x = 552,478.50 × 552,478.50
  4. Step 4: Simplify right side
    254,097x = 305,232,492,962.25
  5. Step 5: Solve for x
    x = 305,232,492,962.25/254,097
  6. Step 6: Final answer
    x = 1,201,243.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.