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Finding the Third Proportional to 264,576 and 578,828

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Solution

The third proportional to 264,576 and 578,828 is: 1,266,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,576 : 578,828 = 578,828 : x
  2. Step 2: Convert to fraction form
    264,576/578,828 = 578,828/x
  3. Step 3: Cross multiply
    264,576x = 578,828 × 578,828
  4. Step 4: Simplify right side
    264,576x = 335,041,853,584
  5. Step 5: Solve for x
    x = 335,041,853,584/264,576
  6. Step 6: Final answer
    x = 1,266,335.02

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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.