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Finding the Third Proportional to 463,360.50 and 949,297.50

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Solution

The third proportional to 463,360.50 and 949,297.50 is: 1,944,848.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,360.50 : 949,297.50 = 949,297.50 : x
  2. Step 2: Convert to fraction form
    463,360.50/949,297.50 = 949,297.50/x
  3. Step 3: Cross multiply
    463,360.50x = 949,297.50 × 949,297.50
  4. Step 4: Simplify right side
    463,360.50x = 901,165,743,506.25
  5. Step 5: Solve for x
    x = 901,165,743,506.25/463,360.50
  6. Step 6: Final answer
    x = 1,944,848.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.