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Finding the Third Proportional to 262,584 and 562,533

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Solution

The third proportional to 262,584 and 562,533 is: 1,205,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,584 : 562,533 = 562,533 : x
  2. Step 2: Convert to fraction form
    262,584/562,533 = 562,533/x
  3. Step 3: Cross multiply
    262,584x = 562,533 × 562,533
  4. Step 4: Simplify right side
    262,584x = 316,443,376,089
  5. Step 5: Solve for x
    x = 316,443,376,089/262,584
  6. Step 6: Final answer
    x = 1,205,112.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.