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Finding the Third Proportional to 254,136 and 552,539

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Solution

The third proportional to 254,136 and 552,539 is: 1,201,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,136 : 552,539 = 552,539 : x
  2. Step 2: Convert to fraction form
    254,136/552,539 = 552,539/x
  3. Step 3: Cross multiply
    254,136x = 552,539 × 552,539
  4. Step 4: Simplify right side
    254,136x = 305,299,346,521
  5. Step 5: Solve for x
    x = 305,299,346,521/254,136
  6. Step 6: Final answer
    x = 1,201,322.70

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Why These Related Problems?

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