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Finding the Third Proportional to 412,920 and 634,881.38

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Solution

The third proportional to 412,920 and 634,881.38 is: 976,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,920 : 634,881.38 = 634,881.38 : x
  2. Step 2: Convert to fraction form
    412,920/634,881.38 = 634,881.38/x
  3. Step 3: Cross multiply
    412,920x = 634,881.38 × 634,881.38
  4. Step 4: Simplify right side
    412,920x = 403,074,360,321.89
  5. Step 5: Solve for x
    x = 403,074,360,321.89/412,920
  6. Step 6: Final answer
    x = 976,156.06

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