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Finding the Third Proportional to 262,584 and 576,226

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Solution

The third proportional to 262,584 and 576,226 is: 1,264,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,584 : 576,226 = 576,226 : x
  2. Step 2: Convert to fraction form
    262,584/576,226 = 576,226/x
  3. Step 3: Cross multiply
    262,584x = 576,226 × 576,226
  4. Step 4: Simplify right side
    262,584x = 332,036,403,076
  5. Step 5: Solve for x
    x = 332,036,403,076/262,584
  6. Step 6: Final answer
    x = 1,264,495.94

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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.