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Finding the Third Proportional to 366,322.50 and 569,440.13

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Solution

The third proportional to 366,322.50 and 569,440.13 is: 885,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,322.50 : 569,440.13 = 569,440.13 : x
  2. Step 2: Convert to fraction form
    366,322.50/569,440.13 = 569,440.13/x
  3. Step 3: Cross multiply
    366,322.50x = 569,440.13 × 569,440.13
  4. Step 4: Simplify right side
    366,322.50x = 324,262,055,960.02
  5. Step 5: Solve for x
    x = 324,262,055,960.02/366,322.50
  6. Step 6: Final answer
    x = 885,181.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.