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Finding the Third Proportional to 364,650 and 552,006

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Solution

The third proportional to 364,650 and 552,006 is: 835,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,650 : 552,006 = 552,006 : x
  2. Step 2: Convert to fraction form
    364,650/552,006 = 552,006/x
  3. Step 3: Cross multiply
    364,650x = 552,006 × 552,006
  4. Step 4: Simplify right side
    364,650x = 304,710,624,036
  5. Step 5: Solve for x
    x = 304,710,624,036/364,650
  6. Step 6: Final answer
    x = 835,624.91

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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.