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Finding the Third Proportional to 264,906 and 578,988

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Solution

The third proportional to 264,906 and 578,988 is: 1,265,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,906 : 578,988 = 578,988 : x
  2. Step 2: Convert to fraction form
    264,906/578,988 = 578,988/x
  3. Step 3: Cross multiply
    264,906x = 578,988 × 578,988
  4. Step 4: Simplify right side
    264,906x = 335,227,104,144
  5. Step 5: Solve for x
    x = 335,227,104,144/264,906
  6. Step 6: Final answer
    x = 1,265,456.82

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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.