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Finding the Third Proportional to 320,312 and 491,327

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Solution

The third proportional to 320,312 and 491,327 is: 753,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,312 : 491,327 = 491,327 : x
  2. Step 2: Convert to fraction form
    320,312/491,327 = 491,327/x
  3. Step 3: Cross multiply
    320,312x = 491,327 × 491,327
  4. Step 4: Simplify right side
    320,312x = 241,402,220,929
  5. Step 5: Solve for x
    x = 241,402,220,929/320,312
  6. Step 6: Final answer
    x = 753,647.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.