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Finding the Third Proportional to 292,213.50 and 634,251

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Solution

The third proportional to 292,213.50 and 634,251 is: 1,376,645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,213.50 : 634,251 = 634,251 : x
  2. Step 2: Convert to fraction form
    292,213.50/634,251 = 634,251/x
  3. Step 3: Cross multiply
    292,213.50x = 634,251 × 634,251
  4. Step 4: Simplify right side
    292,213.50x = 402,274,331,001
  5. Step 5: Solve for x
    x = 402,274,331,001/292,213.50
  6. Step 6: Final answer
    x = 1,376,645.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.