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Finding the Third Proportional to 264,336 and 576,816

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Solution

The third proportional to 264,336 and 576,816 is: 1,258,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,336 : 576,816 = 576,816 : x
  2. Step 2: Convert to fraction form
    264,336/576,816 = 576,816/x
  3. Step 3: Cross multiply
    264,336x = 576,816 × 576,816
  4. Step 4: Simplify right side
    264,336x = 332,716,697,856
  5. Step 5: Solve for x
    x = 332,716,697,856/264,336
  6. Step 6: Final answer
    x = 1,258,688.55

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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.