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Finding the Third Proportional to 427,690.50 and 597,939

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Solution

The third proportional to 427,690.50 and 597,939 is: 835,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,690.50 : 597,939 = 597,939 : x
  2. Step 2: Convert to fraction form
    427,690.50/597,939 = 597,939/x
  3. Step 3: Cross multiply
    427,690.50x = 597,939 × 597,939
  4. Step 4: Simplify right side
    427,690.50x = 357,531,047,721
  5. Step 5: Solve for x
    x = 357,531,047,721/427,690.50
  6. Step 6: Final answer
    x = 835,957.42

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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.