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Finding the Third Proportional to 359,194 and 552,272

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Solution

The third proportional to 359,194 and 552,272 is: 849,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,194 : 552,272 = 552,272 : x
  2. Step 2: Convert to fraction form
    359,194/552,272 = 552,272/x
  3. Step 3: Cross multiply
    359,194x = 552,272 × 552,272
  4. Step 4: Simplify right side
    359,194x = 305,004,361,984
  5. Step 5: Solve for x
    x = 305,004,361,984/359,194
  6. Step 6: Final answer
    x = 849,135.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.