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Finding the Third Proportional to 264,852.84 and 579,219.47

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Solution

The third proportional to 264,852.84 and 579,219.47 is: 1,266,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,852.84 : 579,219.47 = 579,219.47 : x
  2. Step 2: Convert to fraction form
    264,852.84/579,219.47 = 579,219.47/x
  3. Step 3: Cross multiply
    264,852.84x = 579,219.47 × 579,219.47
  4. Step 4: Simplify right side
    264,852.84x = 335,495,192,979.03
  5. Step 5: Solve for x
    x = 335,495,192,979.03/264,852.84
  6. Step 6: Final answer
    x = 1,266,723.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.