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Finding the Third Proportional to 264,673 and 576,928

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Solution

The third proportional to 264,673 and 576,928 is: 1,257,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,673 : 576,928 = 576,928 : x
  2. Step 2: Convert to fraction form
    264,673/576,928 = 576,928/x
  3. Step 3: Cross multiply
    264,673x = 576,928 × 576,928
  4. Step 4: Simplify right side
    264,673x = 332,845,917,184
  5. Step 5: Solve for x
    x = 332,845,917,184/264,673
  6. Step 6: Final answer
    x = 1,257,574.13

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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.