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Finding the Third Proportional to 448,974 and 697,070.25

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Solution

The third proportional to 448,974 and 697,070.25 is: 1,082,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,974 : 697,070.25 = 697,070.25 : x
  2. Step 2: Convert to fraction form
    448,974/697,070.25 = 697,070.25/x
  3. Step 3: Cross multiply
    448,974x = 697,070.25 × 697,070.25
  4. Step 4: Simplify right side
    448,974x = 485,906,933,435.06
  5. Step 5: Solve for x
    x = 485,906,933,435.06/448,974
  6. Step 6: Final answer
    x = 1,082,260.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.