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Finding the Third Proportional to 264,592 and 578,860

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Solution

The third proportional to 264,592 and 578,860 is: 1,266,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,592 : 578,860 = 578,860 : x
  2. Step 2: Convert to fraction form
    264,592/578,860 = 578,860/x
  3. Step 3: Cross multiply
    264,592x = 578,860 × 578,860
  4. Step 4: Simplify right side
    264,592x = 335,078,899,600
  5. Step 5: Solve for x
    x = 335,078,899,600/264,592
  6. Step 6: Final answer
    x = 1,266,398.45

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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.