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Finding the Third Proportional to 336,972 and 506,826

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Solution

The third proportional to 336,972 and 506,826 is: 762,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,972 : 506,826 = 506,826 : x
  2. Step 2: Convert to fraction form
    336,972/506,826 = 506,826/x
  3. Step 3: Cross multiply
    336,972x = 506,826 × 506,826
  4. Step 4: Simplify right side
    336,972x = 256,872,594,276
  5. Step 5: Solve for x
    x = 256,872,594,276/336,972
  6. Step 6: Final answer
    x = 762,296.55

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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.