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Finding the Third Proportional to 315,077.63 and 691,381.13

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Solution

The third proportional to 315,077.63 and 691,381.13 is: 1,517,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,077.63 : 691,381.13 = 691,381.13 : x
  2. Step 2: Convert to fraction form
    315,077.63/691,381.13 = 691,381.13/x
  3. Step 3: Cross multiply
    315,077.63x = 691,381.13 × 691,381.13
  4. Step 4: Simplify right side
    315,077.63x = 478,007,860,006.27
  5. Step 5: Solve for x
    x = 478,007,860,006.27/315,077.63
  6. Step 6: Final answer
    x = 1,517,111.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.