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Finding the Third Proportional to 393,177 and 593,014.50

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Solution

The third proportional to 393,177 and 593,014.50 is: 894,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,177 : 593,014.50 = 593,014.50 : x
  2. Step 2: Convert to fraction form
    393,177/593,014.50 = 593,014.50/x
  3. Step 3: Cross multiply
    393,177x = 593,014.50 × 593,014.50
  4. Step 4: Simplify right side
    393,177x = 351,666,197,210.25
  5. Step 5: Solve for x
    x = 351,666,197,210.25/393,177
  6. Step 6: Final answer
    x = 894,422.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.