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Finding the Third Proportional to 207,748 and 447,276

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Solution

The third proportional to 207,748 and 447,276 is: 962,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,748 : 447,276 = 447,276 : x
  2. Step 2: Convert to fraction form
    207,748/447,276 = 447,276/x
  3. Step 3: Cross multiply
    207,748x = 447,276 × 447,276
  4. Step 4: Simplify right side
    207,748x = 200,055,820,176
  5. Step 5: Solve for x
    x = 200,055,820,176/207,748
  6. Step 6: Final answer
    x = 962,973.51

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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.