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Finding the Third Proportional to 456,461 and 605,815

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Solution

The third proportional to 456,461 and 605,815 is: 804,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,461 : 605,815 = 605,815 : x
  2. Step 2: Convert to fraction form
    456,461/605,815 = 605,815/x
  3. Step 3: Cross multiply
    456,461x = 605,815 × 605,815
  4. Step 4: Simplify right side
    456,461x = 367,011,814,225
  5. Step 5: Solve for x
    x = 367,011,814,225/456,461
  6. Step 6: Final answer
    x = 804,037.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.