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Finding the Third Proportional to 251,522 and 380,533

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Solution

The third proportional to 251,522 and 380,533 is: 575,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,522 : 380,533 = 380,533 : x
  2. Step 2: Convert to fraction form
    251,522/380,533 = 380,533/x
  3. Step 3: Cross multiply
    251,522x = 380,533 × 380,533
  4. Step 4: Simplify right side
    251,522x = 144,805,364,089
  5. Step 5: Solve for x
    x = 144,805,364,089/251,522
  6. Step 6: Final answer
    x = 575,716.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.