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Finding the Third Proportional to 320,714 and 692,276

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Solution

The third proportional to 320,714 and 692,276 is: 1,494,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,714 : 692,276 = 692,276 : x
  2. Step 2: Convert to fraction form
    320,714/692,276 = 692,276/x
  3. Step 3: Cross multiply
    320,714x = 692,276 × 692,276
  4. Step 4: Simplify right side
    320,714x = 479,246,060,176
  5. Step 5: Solve for x
    x = 479,246,060,176/320,714
  6. Step 6: Final answer
    x = 1,494,309.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.