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Finding the Third Proportional to 264,782.67 and 578,769.05

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Solution

The third proportional to 264,782.67 and 578,769.05 is: 1,265,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,782.67 : 578,769.05 = 578,769.05 : x
  2. Step 2: Convert to fraction form
    264,782.67/578,769.05 = 578,769.05/x
  3. Step 3: Cross multiply
    264,782.67x = 578,769.05 × 578,769.05
  4. Step 4: Simplify right side
    264,782.67x = 334,973,609,620.60
  5. Step 5: Solve for x
    x = 334,973,609,620.60/264,782.67
  6. Step 6: Final answer
    x = 1,265,088.86

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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.