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Finding the Third Proportional to 393,028.50 and 592,803

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Solution

The third proportional to 393,028.50 and 592,803 is: 894,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,028.50 : 592,803 = 592,803 : x
  2. Step 2: Convert to fraction form
    393,028.50/592,803 = 592,803/x
  3. Step 3: Cross multiply
    393,028.50x = 592,803 × 592,803
  4. Step 4: Simplify right side
    393,028.50x = 351,415,396,809
  5. Step 5: Solve for x
    x = 351,415,396,809/393,028.50
  6. Step 6: Final answer
    x = 894,121.92

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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.