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Finding the Third Proportional to 677,265.75 and 991,603.13

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Solution

The third proportional to 677,265.75 and 991,603.13 is: 1,451,832.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,265.75 : 991,603.13 = 991,603.13 : x
  2. Step 2: Convert to fraction form
    677,265.75/991,603.13 = 991,603.13/x
  3. Step 3: Cross multiply
    677,265.75x = 991,603.13 × 991,603.13
  4. Step 4: Simplify right side
    677,265.75x = 983,276,757,509.77
  5. Step 5: Solve for x
    x = 983,276,757,509.77/677,265.75
  6. Step 6: Final answer
    x = 1,451,832.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.