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Finding the Third Proportional to 331,374.75 and 506,700

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Solution

The third proportional to 331,374.75 and 506,700 is: 774,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,374.75 : 506,700 = 506,700 : x
  2. Step 2: Convert to fraction form
    331,374.75/506,700 = 506,700/x
  3. Step 3: Cross multiply
    331,374.75x = 506,700 × 506,700
  4. Step 4: Simplify right side
    331,374.75x = 256,744,890,000
  5. Step 5: Solve for x
    x = 256,744,890,000/331,374.75
  6. Step 6: Final answer
    x = 774,787.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.