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Finding the Third Proportional to 341,471 and 501,132

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Solution

The third proportional to 341,471 and 501,132 is: 735,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,471 : 501,132 = 501,132 : x
  2. Step 2: Convert to fraction form
    341,471/501,132 = 501,132/x
  3. Step 3: Cross multiply
    341,471x = 501,132 × 501,132
  4. Step 4: Simplify right side
    341,471x = 251,133,281,424
  5. Step 5: Solve for x
    x = 251,133,281,424/341,471
  6. Step 6: Final answer
    x = 735,445.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.