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Finding the Third Proportional to 265,733.81 and 566,944.13

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Solution

The third proportional to 265,733.81 and 566,944.13 is: 1,209,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,733.81 : 566,944.13 = 566,944.13 : x
  2. Step 2: Convert to fraction form
    265,733.81/566,944.13 = 566,944.13/x
  3. Step 3: Cross multiply
    265,733.81x = 566,944.13 × 566,944.13
  4. Step 4: Simplify right side
    265,733.81x = 321,425,640,872.02
  5. Step 5: Solve for x
    x = 321,425,640,872.02/265,733.81
  6. Step 6: Final answer
    x = 1,209,577.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.