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Finding the Third Proportional to 364,700 and 552,084

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Solution

The third proportional to 364,700 and 552,084 is: 835,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,700 : 552,084 = 552,084 : x
  2. Step 2: Convert to fraction form
    364,700/552,084 = 552,084/x
  3. Step 3: Cross multiply
    364,700x = 552,084 × 552,084
  4. Step 4: Simplify right side
    364,700x = 304,796,743,056
  5. Step 5: Solve for x
    x = 304,796,743,056/364,700
  6. Step 6: Final answer
    x = 835,746.48

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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.