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Finding the Third Proportional to 523,073 and 808,268

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Solution

The third proportional to 523,073 and 808,268 is: 1,248,959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,073 : 808,268 = 808,268 : x
  2. Step 2: Convert to fraction form
    523,073/808,268 = 808,268/x
  3. Step 3: Cross multiply
    523,073x = 808,268 × 808,268
  4. Step 4: Simplify right side
    523,073x = 653,297,159,824
  5. Step 5: Solve for x
    x = 653,297,159,824/523,073
  6. Step 6: Final answer
    x = 1,248,959.82

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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.