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Finding the Third Proportional to 386,276 and 596,924

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Solution

The third proportional to 386,276 and 596,924 is: 922,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,276 : 596,924 = 596,924 : x
  2. Step 2: Convert to fraction form
    386,276/596,924 = 596,924/x
  3. Step 3: Cross multiply
    386,276x = 596,924 × 596,924
  4. Step 4: Simplify right side
    386,276x = 356,318,261,776
  5. Step 5: Solve for x
    x = 356,318,261,776/386,276
  6. Step 6: Final answer
    x = 922,444.73

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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.