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Finding the Third Proportional to 369,700 and 552,086

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Solution

The third proportional to 369,700 and 552,086 is: 824,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,700 : 552,086 = 552,086 : x
  2. Step 2: Convert to fraction form
    369,700/552,086 = 552,086/x
  3. Step 3: Cross multiply
    369,700x = 552,086 × 552,086
  4. Step 4: Simplify right side
    369,700x = 304,798,951,396
  5. Step 5: Solve for x
    x = 304,798,951,396/369,700
  6. Step 6: Final answer
    x = 824,449.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.