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Finding the Third Proportional to 264,778 and 576,148

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Solution

The third proportional to 264,778 and 576,148 is: 1,253,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,778 : 576,148 = 576,148 : x
  2. Step 2: Convert to fraction form
    264,778/576,148 = 576,148/x
  3. Step 3: Cross multiply
    264,778x = 576,148 × 576,148
  4. Step 4: Simplify right side
    264,778x = 331,946,517,904
  5. Step 5: Solve for x
    x = 331,946,517,904/264,778
  6. Step 6: Final answer
    x = 1,253,678.62

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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.