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Finding the Third Proportional to 265,460.81 and 573,183.38

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Solution

The third proportional to 265,460.81 and 573,183.38 is: 1,237,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,460.81 : 573,183.38 = 573,183.38 : x
  2. Step 2: Convert to fraction form
    265,460.81/573,183.38 = 573,183.38/x
  3. Step 3: Cross multiply
    265,460.81x = 573,183.38 × 573,183.38
  4. Step 4: Simplify right side
    265,460.81x = 328,539,181,376.39
  5. Step 5: Solve for x
    x = 328,539,181,376.39/265,460.81
  6. Step 6: Final answer
    x = 1,237,618.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.