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Finding the Third Proportional to 427,696.50 and 597,933

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Solution

The third proportional to 427,696.50 and 597,933 is: 835,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,696.50 : 597,933 = 597,933 : x
  2. Step 2: Convert to fraction form
    427,696.50/597,933 = 597,933/x
  3. Step 3: Cross multiply
    427,696.50x = 597,933 × 597,933
  4. Step 4: Simplify right side
    427,696.50x = 357,523,872,489
  5. Step 5: Solve for x
    x = 357,523,872,489/427,696.50
  6. Step 6: Final answer
    x = 835,928.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.