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Finding the Third Proportional to 366,746 and 561,017

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Solution

The third proportional to 366,746 and 561,017 is: 858,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,746 : 561,017 = 561,017 : x
  2. Step 2: Convert to fraction form
    366,746/561,017 = 561,017/x
  3. Step 3: Cross multiply
    366,746x = 561,017 × 561,017
  4. Step 4: Simplify right side
    366,746x = 314,740,074,289
  5. Step 5: Solve for x
    x = 314,740,074,289/366,746
  6. Step 6: Final answer
    x = 858,196.34

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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.