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Finding the Third Proportional to 264,814.31 and 578,836.13

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Solution

The third proportional to 264,814.31 and 578,836.13 is: 1,265,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,814.31 : 578,836.13 = 578,836.13 : x
  2. Step 2: Convert to fraction form
    264,814.31/578,836.13 = 578,836.13/x
  3. Step 3: Cross multiply
    264,814.31x = 578,836.13 × 578,836.13
  4. Step 4: Simplify right side
    264,814.31x = 335,051,259,605.02
  5. Step 5: Solve for x
    x = 335,051,259,605.02/264,814.31
  6. Step 6: Final answer
    x = 1,265,230.93

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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.