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Finding the Third Proportional to 471,506.25 and 964,801.63

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Solution

The third proportional to 471,506.25 and 964,801.63 is: 1,974,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,506.25 : 964,801.63 = 964,801.63 : x
  2. Step 2: Convert to fraction form
    471,506.25/964,801.63 = 964,801.63/x
  3. Step 3: Cross multiply
    471,506.25x = 964,801.63 × 964,801.63
  4. Step 4: Simplify right side
    471,506.25x = 930,842,175,602.64
  5. Step 5: Solve for x
    x = 930,842,175,602.64/471,506.25
  6. Step 6: Final answer
    x = 1,974,188.41

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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.