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Finding the Third Proportional to 412,964 and 605,798

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Solution

The third proportional to 412,964 and 605,798 is: 888,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,964 : 605,798 = 605,798 : x
  2. Step 2: Convert to fraction form
    412,964/605,798 = 605,798/x
  3. Step 3: Cross multiply
    412,964x = 605,798 × 605,798
  4. Step 4: Simplify right side
    412,964x = 366,991,216,804
  5. Step 5: Solve for x
    x = 366,991,216,804/412,964
  6. Step 6: Final answer
    x = 888,676.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.