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Finding the Third Proportional to 393,709.50 and 592,071.75

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Solution

The third proportional to 393,709.50 and 592,071.75 is: 890,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,709.50 : 592,071.75 = 592,071.75 : x
  2. Step 2: Convert to fraction form
    393,709.50/592,071.75 = 592,071.75/x
  3. Step 3: Cross multiply
    393,709.50x = 592,071.75 × 592,071.75
  4. Step 4: Simplify right side
    393,709.50x = 350,548,957,148.06
  5. Step 5: Solve for x
    x = 350,548,957,148.06/393,709.50
  6. Step 6: Final answer
    x = 890,374.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.