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Finding the Third Proportional to 471,507.13 and 964,803.38

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Solution

The third proportional to 471,507.13 and 964,803.38 is: 1,974,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,507.13 : 964,803.38 = 964,803.38 : x
  2. Step 2: Convert to fraction form
    471,507.13/964,803.38 = 964,803.38/x
  3. Step 3: Cross multiply
    471,507.13x = 964,803.38 × 964,803.38
  4. Step 4: Simplify right side
    471,507.13x = 930,845,552,411.39
  5. Step 5: Solve for x
    x = 930,845,552,411.39/471,507.13
  6. Step 6: Final answer
    x = 1,974,191.91

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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.