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Finding the Third Proportional to 329,460 and 492,714

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Solution

The third proportional to 329,460 and 492,714 is: 736,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,460 : 492,714 = 492,714 : x
  2. Step 2: Convert to fraction form
    329,460/492,714 = 492,714/x
  3. Step 3: Cross multiply
    329,460x = 492,714 × 492,714
  4. Step 4: Simplify right side
    329,460x = 242,767,085,796
  5. Step 5: Solve for x
    x = 242,767,085,796/329,460
  6. Step 6: Final answer
    x = 736,863.61

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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.