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Finding the Third Proportional to 386,241 and 565,534

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Solution

The third proportional to 386,241 and 565,534 is: 828,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,241 : 565,534 = 565,534 : x
  2. Step 2: Convert to fraction form
    386,241/565,534 = 565,534/x
  3. Step 3: Cross multiply
    386,241x = 565,534 × 565,534
  4. Step 4: Simplify right side
    386,241x = 319,828,705,156
  5. Step 5: Solve for x
    x = 319,828,705,156/386,241
  6. Step 6: Final answer
    x = 828,054.78

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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.