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Finding the Third Proportional to 463,974.75 and 697,194

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Solution

The third proportional to 463,974.75 and 697,194 is: 1,047,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,974.75 : 697,194 = 697,194 : x
  2. Step 2: Convert to fraction form
    463,974.75/697,194 = 697,194/x
  3. Step 3: Cross multiply
    463,974.75x = 697,194 × 697,194
  4. Step 4: Simplify right side
    463,974.75x = 486,079,473,636
  5. Step 5: Solve for x
    x = 486,079,473,636/463,974.75
  6. Step 6: Final answer
    x = 1,047,642.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.