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Finding the Third Proportional to 252,393.47 and 552,308.63

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Solution

The third proportional to 252,393.47 and 552,308.63 is: 1,208,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,393.47 : 552,308.63 = 552,308.63 : x
  2. Step 2: Convert to fraction form
    252,393.47/552,308.63 = 552,308.63/x
  3. Step 3: Cross multiply
    252,393.47x = 552,308.63 × 552,308.63
  4. Step 4: Simplify right side
    252,393.47x = 305,044,817,249.39
  5. Step 5: Solve for x
    x = 305,044,817,249.39/252,393.47
  6. Step 6: Final answer
    x = 1,208,608.21

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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.