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Finding the Third Proportional to 252,681 and 552,838

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Solution

The third proportional to 252,681 and 552,838 is: 1,209,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,681 : 552,838 = 552,838 : x
  2. Step 2: Convert to fraction form
    252,681/552,838 = 552,838/x
  3. Step 3: Cross multiply
    252,681x = 552,838 × 552,838
  4. Step 4: Simplify right side
    252,681x = 305,629,854,244
  5. Step 5: Solve for x
    x = 305,629,854,244/252,681
  6. Step 6: Final answer
    x = 1,209,548.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.