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Finding the Third Proportional to 364,654 and 552,012

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Solution

The third proportional to 364,654 and 552,012 is: 835,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,654 : 552,012 = 552,012 : x
  2. Step 2: Convert to fraction form
    364,654/552,012 = 552,012/x
  3. Step 3: Cross multiply
    364,654x = 552,012 × 552,012
  4. Step 4: Simplify right side
    364,654x = 304,717,248,144
  5. Step 5: Solve for x
    x = 304,717,248,144/364,654
  6. Step 6: Final answer
    x = 835,633.91

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