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Finding the Third Proportional to 262,292 and 562,810

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Solution

The third proportional to 262,292 and 562,810 is: 1,207,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,292 : 562,810 = 562,810 : x
  2. Step 2: Convert to fraction form
    262,292/562,810 = 562,810/x
  3. Step 3: Cross multiply
    262,292x = 562,810 × 562,810
  4. Step 4: Simplify right side
    262,292x = 316,755,096,100
  5. Step 5: Solve for x
    x = 316,755,096,100/262,292
  6. Step 6: Final answer
    x = 1,207,642.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.