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Finding the Third Proportional to 366,766 and 561,047

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Solution

The third proportional to 366,766 and 561,047 is: 858,241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,766 : 561,047 = 561,047 : x
  2. Step 2: Convert to fraction form
    366,766/561,047 = 561,047/x
  3. Step 3: Cross multiply
    366,766x = 561,047 × 561,047
  4. Step 4: Simplify right side
    366,766x = 314,773,736,209
  5. Step 5: Solve for x
    x = 314,773,736,209/366,766
  6. Step 6: Final answer
    x = 858,241.32

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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.