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Finding the Third Proportional to 343,514.50 and 474,663.50

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Solution

The third proportional to 343,514.50 and 474,663.50 is: 655,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,514.50 : 474,663.50 = 474,663.50 : x
  2. Step 2: Convert to fraction form
    343,514.50/474,663.50 = 474,663.50/x
  3. Step 3: Cross multiply
    343,514.50x = 474,663.50 × 474,663.50
  4. Step 4: Simplify right side
    343,514.50x = 225,305,438,232.25
  5. Step 5: Solve for x
    x = 225,305,438,232.25/343,514.50
  6. Step 6: Final answer
    x = 655,883.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.