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Finding the Third Proportional to 273,806.42 and 599,146.16

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Solution

The third proportional to 273,806.42 and 599,146.16 is: 1,311,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,806.42 : 599,146.16 = 599,146.16 : x
  2. Step 2: Convert to fraction form
    273,806.42/599,146.16 = 599,146.16/x
  3. Step 3: Cross multiply
    273,806.42x = 599,146.16 × 599,146.16
  4. Step 4: Simplify right side
    273,806.42x = 358,976,124,740.60
  5. Step 5: Solve for x
    x = 358,976,124,740.60/273,806.42
  6. Step 6: Final answer
    x = 1,311,058.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.