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Finding the Third Proportional to 412,848 and 634,761

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Solution

The third proportional to 412,848 and 634,761 is: 975,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,848 : 634,761 = 634,761 : x
  2. Step 2: Convert to fraction form
    412,848/634,761 = 634,761/x
  3. Step 3: Cross multiply
    412,848x = 634,761 × 634,761
  4. Step 4: Simplify right side
    412,848x = 402,921,527,121
  5. Step 5: Solve for x
    x = 402,921,527,121/412,848
  6. Step 6: Final answer
    x = 975,956.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.