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Finding the Third Proportional to 315,738 and 697,936.50

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Solution

The third proportional to 315,738 and 697,936.50 is: 1,542,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,738 : 697,936.50 = 697,936.50 : x
  2. Step 2: Convert to fraction form
    315,738/697,936.50 = 697,936.50/x
  3. Step 3: Cross multiply
    315,738x = 697,936.50 × 697,936.50
  4. Step 4: Simplify right side
    315,738x = 487,115,358,032.25
  5. Step 5: Solve for x
    x = 487,115,358,032.25/315,738
  6. Step 6: Final answer
    x = 1,542,783.44

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.