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Finding the Third Proportional to 236,386 and 510,662

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Solution

The third proportional to 236,386 and 510,662 is: 1,103,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,386 : 510,662 = 510,662 : x
  2. Step 2: Convert to fraction form
    236,386/510,662 = 510,662/x
  3. Step 3: Cross multiply
    236,386x = 510,662 × 510,662
  4. Step 4: Simplify right side
    236,386x = 260,775,678,244
  5. Step 5: Solve for x
    x = 260,775,678,244/236,386
  6. Step 6: Final answer
    x = 1,103,177.34

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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.