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Finding the Third Proportional to 207,368 and 458,512

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Solution

The third proportional to 207,368 and 458,512 is: 1,013,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,368 : 458,512 = 458,512 : x
  2. Step 2: Convert to fraction form
    207,368/458,512 = 458,512/x
  3. Step 3: Cross multiply
    207,368x = 458,512 × 458,512
  4. Step 4: Simplify right side
    207,368x = 210,233,254,144
  5. Step 5: Solve for x
    x = 210,233,254,144/207,368
  6. Step 6: Final answer
    x = 1,013,817.24

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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.