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Finding the Third Proportional to 677,289 and 922,497.75

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Solution

The third proportional to 677,289 and 922,497.75 is: 1,256,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,289 : 922,497.75 = 922,497.75 : x
  2. Step 2: Convert to fraction form
    677,289/922,497.75 = 922,497.75/x
  3. Step 3: Cross multiply
    677,289x = 922,497.75 × 922,497.75
  4. Step 4: Simplify right side
    677,289x = 851,002,098,755.06
  5. Step 5: Solve for x
    x = 851,002,098,755.06/677,289
  6. Step 6: Final answer
    x = 1,256,482.98

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.