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Finding the Third Proportional to 258,172 and 562,275

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Solution

The third proportional to 258,172 and 562,275 is: 1,224,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,172 : 562,275 = 562,275 : x
  2. Step 2: Convert to fraction form
    258,172/562,275 = 562,275/x
  3. Step 3: Cross multiply
    258,172x = 562,275 × 562,275
  4. Step 4: Simplify right side
    258,172x = 316,153,175,625
  5. Step 5: Solve for x
    x = 316,153,175,625/258,172
  6. Step 6: Final answer
    x = 1,224,583.52

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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.