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Finding the Third Proportional to 523,061 and 808,250

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Solution

The third proportional to 523,061 and 808,250 is: 1,248,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,061 : 808,250 = 808,250 : x
  2. Step 2: Convert to fraction form
    523,061/808,250 = 808,250/x
  3. Step 3: Cross multiply
    523,061x = 808,250 × 808,250
  4. Step 4: Simplify right side
    523,061x = 653,268,062,500
  5. Step 5: Solve for x
    x = 653,268,062,500/523,061
  6. Step 6: Final answer
    x = 1,248,932.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.