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Finding the Third Proportional to 393,249 and 593,095.50

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Solution

The third proportional to 393,249 and 593,095.50 is: 894,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,249 : 593,095.50 = 593,095.50 : x
  2. Step 2: Convert to fraction form
    393,249/593,095.50 = 593,095.50/x
  3. Step 3: Cross multiply
    393,249x = 593,095.50 × 593,095.50
  4. Step 4: Simplify right side
    393,249x = 351,762,272,120.25
  5. Step 5: Solve for x
    x = 351,762,272,120.25/393,249
  6. Step 6: Final answer
    x = 894,502.65

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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.