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Finding the Third Proportional to 254,133 and 552,033

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Solution

The third proportional to 254,133 and 552,033 is: 1,199,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,133 : 552,033 = 552,033 : x
  2. Step 2: Convert to fraction form
    254,133/552,033 = 552,033/x
  3. Step 3: Cross multiply
    254,133x = 552,033 × 552,033
  4. Step 4: Simplify right side
    254,133x = 304,740,433,089
  5. Step 5: Solve for x
    x = 304,740,433,089/254,133
  6. Step 6: Final answer
    x = 1,199,137.59

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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.