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Finding the Third Proportional to 207,835.88 and 447,719.06

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Solution

The third proportional to 207,835.88 and 447,719.06 is: 964,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,835.88 : 447,719.06 = 447,719.06 : x
  2. Step 2: Convert to fraction form
    207,835.88/447,719.06 = 447,719.06/x
  3. Step 3: Cross multiply
    207,835.88x = 447,719.06 × 447,719.06
  4. Step 4: Simplify right side
    207,835.88x = 200,452,358,925.88
  5. Step 5: Solve for x
    x = 200,452,358,925.88/207,835.88
  6. Step 6: Final answer
    x = 964,474.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.