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Finding the Third Proportional to 713,297.81 and 1,451,506.50

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Solution

The third proportional to 713,297.81 and 1,451,506.50 is: 2,953,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,297.81 : 1,451,506.50 = 1,451,506.50 : x
  2. Step 2: Convert to fraction form
    713,297.81/1,451,506.50 = 1,451,506.50/x
  3. Step 3: Cross multiply
    713,297.81x = 1,451,506.50 × 1,451,506.50
  4. Step 4: Simplify right side
    713,297.81x = 2,106,871,119,542.25
  5. Step 5: Solve for x
    x = 2,106,871,119,542.25/713,297.81
  6. Step 6: Final answer
    x = 2,953,704.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.