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Finding the Third Proportional to 258,254 and 562,252

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Solution

The third proportional to 258,254 and 562,252 is: 1,224,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,254 : 562,252 = 562,252 : x
  2. Step 2: Convert to fraction form
    258,254/562,252 = 562,252/x
  3. Step 3: Cross multiply
    258,254x = 562,252 × 562,252
  4. Step 4: Simplify right side
    258,254x = 316,127,311,504
  5. Step 5: Solve for x
    x = 316,127,311,504/258,254
  6. Step 6: Final answer
    x = 1,224,094.54

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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.