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Finding the Third Proportional to 301,614 and 662,844

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Solution

The third proportional to 301,614 and 662,844 is: 1,456,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,614 : 662,844 = 662,844 : x
  2. Step 2: Convert to fraction form
    301,614/662,844 = 662,844/x
  3. Step 3: Cross multiply
    301,614x = 662,844 × 662,844
  4. Step 4: Simplify right side
    301,614x = 439,362,168,336
  5. Step 5: Solve for x
    x = 439,362,168,336/301,614
  6. Step 6: Final answer
    x = 1,456,703.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.