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Finding the Third Proportional to 207,370 and 458,516

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Solution

The third proportional to 207,370 and 458,516 is: 1,013,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,370 : 458,516 = 458,516 : x
  2. Step 2: Convert to fraction form
    207,370/458,516 = 458,516/x
  3. Step 3: Cross multiply
    207,370x = 458,516 × 458,516
  4. Step 4: Simplify right side
    207,370x = 210,236,922,256
  5. Step 5: Solve for x
    x = 210,236,922,256/207,370
  6. Step 6: Final answer
    x = 1,013,825.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.