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Finding the Third Proportional to 259,971 and 562,590

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Solution

The third proportional to 259,971 and 562,590 is: 1,217,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,971 : 562,590 = 562,590 : x
  2. Step 2: Convert to fraction form
    259,971/562,590 = 562,590/x
  3. Step 3: Cross multiply
    259,971x = 562,590 × 562,590
  4. Step 4: Simplify right side
    259,971x = 316,507,508,100
  5. Step 5: Solve for x
    x = 316,507,508,100/259,971
  6. Step 6: Final answer
    x = 1,217,472.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.