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Finding the Third Proportional to 320,689.13 and 691,088.63

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Solution

The third proportional to 320,689.13 and 691,088.63 is: 1,489,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,689.13 : 691,088.63 = 691,088.63 : x
  2. Step 2: Convert to fraction form
    320,689.13/691,088.63 = 691,088.63/x
  3. Step 3: Cross multiply
    320,689.13x = 691,088.63 × 691,088.63
  4. Step 4: Simplify right side
    320,689.13x = 477,603,487,604.39
  5. Step 5: Solve for x
    x = 477,603,487,604.39/320,689.13
  6. Step 6: Final answer
    x = 1,489,303.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.