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Finding the Third Proportional to 264,776 and 576,144

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Solution

The third proportional to 264,776 and 576,144 is: 1,253,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,776 : 576,144 = 576,144 : x
  2. Step 2: Convert to fraction form
    264,776/576,144 = 576,144/x
  3. Step 3: Cross multiply
    264,776x = 576,144 × 576,144
  4. Step 4: Simplify right side
    264,776x = 331,941,908,736
  5. Step 5: Solve for x
    x = 331,941,908,736/264,776
  6. Step 6: Final answer
    x = 1,253,670.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.