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Finding the Third Proportional to 336,875 and 492,748

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Solution

The third proportional to 336,875 and 492,748 is: 720,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,875 : 492,748 = 492,748 : x
  2. Step 2: Convert to fraction form
    336,875/492,748 = 492,748/x
  3. Step 3: Cross multiply
    336,875x = 492,748 × 492,748
  4. Step 4: Simplify right side
    336,875x = 242,800,591,504
  5. Step 5: Solve for x
    x = 242,800,591,504/336,875
  6. Step 6: Final answer
    x = 720,743.87

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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.