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Finding the Third Proportional to 264,807.56 and 578,790.56

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Solution

The third proportional to 264,807.56 and 578,790.56 is: 1,265,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,807.56 : 578,790.56 = 578,790.56 : x
  2. Step 2: Convert to fraction form
    264,807.56/578,790.56 = 578,790.56/x
  3. Step 3: Cross multiply
    264,807.56x = 578,790.56 × 578,790.56
  4. Step 4: Simplify right side
    264,807.56x = 334,998,515,239.07
  5. Step 5: Solve for x
    x = 334,998,515,239.07/264,807.56
  6. Step 6: Final answer
    x = 1,265,064.00

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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.