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Finding the Third Proportional to 336,861 and 506,658.38

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Solution

The third proportional to 336,861 and 506,658.38 is: 762,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,861 : 506,658.38 = 506,658.38 : x
  2. Step 2: Convert to fraction form
    336,861/506,658.38 = 506,658.38/x
  3. Step 3: Cross multiply
    336,861x = 506,658.38 × 506,658.38
  4. Step 4: Simplify right side
    336,861x = 256,702,708,957.64
  5. Step 5: Solve for x
    x = 256,702,708,957.64/336,861
  6. Step 6: Final answer
    x = 762,043.42

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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.