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Finding the Third Proportional to 207,808 and 447,402

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Solution

The third proportional to 207,808 and 447,402 is: 963,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,808 : 447,402 = 447,402 : x
  2. Step 2: Convert to fraction form
    207,808/447,402 = 447,402/x
  3. Step 3: Cross multiply
    207,808x = 447,402 × 447,402
  4. Step 4: Simplify right side
    207,808x = 200,168,549,604
  5. Step 5: Solve for x
    x = 200,168,549,604/207,808
  6. Step 6: Final answer
    x = 963,237.94

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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.