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Finding the Third Proportional to 366,751.69 and 561,024.56

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Solution

The third proportional to 366,751.69 and 561,024.56 is: 858,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,751.69 : 561,024.56 = 561,024.56 : x
  2. Step 2: Convert to fraction form
    366,751.69/561,024.56 = 561,024.56/x
  3. Step 3: Cross multiply
    366,751.69x = 561,024.56 × 561,024.56
  4. Step 4: Simplify right side
    366,751.69x = 314,748,559,728.32
  5. Step 5: Solve for x
    x = 314,748,559,728.32/366,751.69
  6. Step 6: Final answer
    x = 858,206.17

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