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Finding the Third Proportional to 301,205 and 642,442

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Solution

The third proportional to 301,205 and 642,442 is: 1,370,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,205 : 642,442 = 642,442 : x
  2. Step 2: Convert to fraction form
    301,205/642,442 = 642,442/x
  3. Step 3: Cross multiply
    301,205x = 642,442 × 642,442
  4. Step 4: Simplify right side
    301,205x = 412,731,723,364
  5. Step 5: Solve for x
    x = 412,731,723,364/301,205
  6. Step 6: Final answer
    x = 1,370,268.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.