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Finding the Third Proportional to 366,965 and 561,391

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Solution

The third proportional to 366,965 and 561,391 is: 858,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,965 : 561,391 = 561,391 : x
  2. Step 2: Convert to fraction form
    366,965/561,391 = 561,391/x
  3. Step 3: Cross multiply
    366,965x = 561,391 × 561,391
  4. Step 4: Simplify right side
    366,965x = 315,159,854,881
  5. Step 5: Solve for x
    x = 315,159,854,881/366,965
  6. Step 6: Final answer
    x = 858,828.10

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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.