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Finding the Third Proportional to 386,233 and 565,523

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Solution

The third proportional to 386,233 and 565,523 is: 828,039.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,233 : 565,523 = 565,523 : x
  2. Step 2: Convert to fraction form
    386,233/565,523 = 565,523/x
  3. Step 3: Cross multiply
    386,233x = 565,523 × 565,523
  4. Step 4: Simplify right side
    386,233x = 319,816,263,529
  5. Step 5: Solve for x
    x = 319,816,263,529/386,233
  6. Step 6: Final answer
    x = 828,039.72

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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.