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Finding the Third Proportional to 343,184 and 521,772

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Solution

The third proportional to 343,184 and 521,772 is: 793,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,184 : 521,772 = 521,772 : x
  2. Step 2: Convert to fraction form
    343,184/521,772 = 521,772/x
  3. Step 3: Cross multiply
    343,184x = 521,772 × 521,772
  4. Step 4: Simplify right side
    343,184x = 272,246,019,984
  5. Step 5: Solve for x
    x = 272,246,019,984/343,184
  6. Step 6: Final answer
    x = 793,294.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.