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Finding the Third Proportional to 296,234 and 423,327

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Solution

The third proportional to 296,234 and 423,327 is: 604,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,234 : 423,327 = 423,327 : x
  2. Step 2: Convert to fraction form
    296,234/423,327 = 423,327/x
  3. Step 3: Cross multiply
    296,234x = 423,327 × 423,327
  4. Step 4: Simplify right side
    296,234x = 179,205,748,929
  5. Step 5: Solve for x
    x = 179,205,748,929/296,234
  6. Step 6: Final answer
    x = 604,946.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.