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Finding the Third Proportional to 343,948.50 and 467,073.50

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Solution

The third proportional to 343,948.50 and 467,073.50 is: 634,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,948.50 : 467,073.50 = 467,073.50 : x
  2. Step 2: Convert to fraction form
    343,948.50/467,073.50 = 467,073.50/x
  3. Step 3: Cross multiply
    343,948.50x = 467,073.50 × 467,073.50
  4. Step 4: Simplify right side
    343,948.50x = 218,157,654,402.25
  5. Step 5: Solve for x
    x = 218,157,654,402.25/343,948.50
  6. Step 6: Final answer
    x = 634,274.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.