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Finding the Third Proportional to 235,086 and 522,492

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Solution

The third proportional to 235,086 and 522,492 is: 1,161,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,086 : 522,492 = 522,492 : x
  2. Step 2: Convert to fraction form
    235,086/522,492 = 522,492/x
  3. Step 3: Cross multiply
    235,086x = 522,492 × 522,492
  4. Step 4: Simplify right side
    235,086x = 272,997,890,064
  5. Step 5: Solve for x
    x = 272,997,890,064/235,086
  6. Step 6: Final answer
    x = 1,161,268.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.