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Finding the Third Proportional to 343,412 and 525,327

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Solution

The third proportional to 343,412 and 525,327 is: 803,607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,412 : 525,327 = 525,327 : x
  2. Step 2: Convert to fraction form
    343,412/525,327 = 525,327/x
  3. Step 3: Cross multiply
    343,412x = 525,327 × 525,327
  4. Step 4: Simplify right side
    343,412x = 275,968,456,929
  5. Step 5: Solve for x
    x = 275,968,456,929/343,412
  6. Step 6: Final answer
    x = 803,607.49

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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.