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Finding the Third Proportional to 366,746 and 561,010

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Solution

The third proportional to 366,746 and 561,010 is: 858,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,746 : 561,010 = 561,010 : x
  2. Step 2: Convert to fraction form
    366,746/561,010 = 561,010/x
  3. Step 3: Cross multiply
    366,746x = 561,010 × 561,010
  4. Step 4: Simplify right side
    366,746x = 314,732,220,100
  5. Step 5: Solve for x
    x = 314,732,220,100/366,746
  6. Step 6: Final answer
    x = 858,174.92

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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.