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Finding the Third Proportional to 207,472 and 454,014

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Solution

The third proportional to 207,472 and 454,014 is: 993,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,472 : 454,014 = 454,014 : x
  2. Step 2: Convert to fraction form
    207,472/454,014 = 454,014/x
  3. Step 3: Cross multiply
    207,472x = 454,014 × 454,014
  4. Step 4: Simplify right side
    207,472x = 206,128,712,196
  5. Step 5: Solve for x
    x = 206,128,712,196/207,472
  6. Step 6: Final answer
    x = 993,525.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.