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Finding the Third Proportional to 366,823.69 and 561,102.19

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Solution

The third proportional to 366,823.69 and 561,102.19 is: 858,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,823.69 : 561,102.19 = 561,102.19 : x
  2. Step 2: Convert to fraction form
    366,823.69/561,102.19 = 561,102.19/x
  3. Step 3: Cross multiply
    366,823.69x = 561,102.19 × 561,102.19
  4. Step 4: Simplify right side
    366,823.69x = 314,835,664,817.29
  5. Step 5: Solve for x
    x = 314,835,664,817.29/366,823.69
  6. Step 6: Final answer
    x = 858,275.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.