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Finding the Third Proportional to 386,271 and 596,916

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Solution

The third proportional to 386,271 and 596,916 is: 922,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,271 : 596,916 = 596,916 : x
  2. Step 2: Convert to fraction form
    386,271/596,916 = 596,916/x
  3. Step 3: Cross multiply
    386,271x = 596,916 × 596,916
  4. Step 4: Simplify right side
    386,271x = 356,308,711,056
  5. Step 5: Solve for x
    x = 356,308,711,056/386,271
  6. Step 6: Final answer
    x = 922,431.95

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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.