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Finding the Third Proportional to 207,802.13 and 447,384.94

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Solution

The third proportional to 207,802.13 and 447,384.94 is: 963,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,802.13 : 447,384.94 = 447,384.94 : x
  2. Step 2: Convert to fraction form
    207,802.13/447,384.94 = 447,384.94/x
  3. Step 3: Cross multiply
    207,802.13x = 447,384.94 × 447,384.94
  4. Step 4: Simplify right side
    207,802.13x = 200,153,282,301.88
  5. Step 5: Solve for x
    x = 200,153,282,301.88/207,802.13
  6. Step 6: Final answer
    x = 963,191.70

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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.