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Finding the Third Proportional to 265,467 and 577,584

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Solution

The third proportional to 265,467 and 577,584 is: 1,256,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,467 : 577,584 = 577,584 : x
  2. Step 2: Convert to fraction form
    265,467/577,584 = 577,584/x
  3. Step 3: Cross multiply
    265,467x = 577,584 × 577,584
  4. Step 4: Simplify right side
    265,467x = 333,603,277,056
  5. Step 5: Solve for x
    x = 333,603,277,056/265,467
  6. Step 6: Final answer
    x = 1,256,665.71

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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.