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Finding the Third Proportional to 386,233 and 565,522

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Solution

The third proportional to 386,233 and 565,522 is: 828,036.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,233 : 565,522 = 565,522 : x
  2. Step 2: Convert to fraction form
    386,233/565,522 = 565,522/x
  3. Step 3: Cross multiply
    386,233x = 565,522 × 565,522
  4. Step 4: Simplify right side
    386,233x = 319,815,132,484
  5. Step 5: Solve for x
    x = 319,815,132,484/386,233
  6. Step 6: Final answer
    x = 828,036.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.