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Finding the Third Proportional to 336,865 and 492,733

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Solution

The third proportional to 336,865 and 492,733 is: 720,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,865 : 492,733 = 492,733 : x
  2. Step 2: Convert to fraction form
    336,865/492,733 = 492,733/x
  3. Step 3: Cross multiply
    336,865x = 492,733 × 492,733
  4. Step 4: Simplify right side
    336,865x = 242,785,809,289
  5. Step 5: Solve for x
    x = 242,785,809,289/336,865
  6. Step 6: Final answer
    x = 720,721.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.