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Finding the Third Proportional to 301,276 and 642,584

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Solution

The third proportional to 301,276 and 642,584 is: 1,370,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,276 : 642,584 = 642,584 : x
  2. Step 2: Convert to fraction form
    301,276/642,584 = 642,584/x
  3. Step 3: Cross multiply
    301,276x = 642,584 × 642,584
  4. Step 4: Simplify right side
    301,276x = 412,914,197,056
  5. Step 5: Solve for x
    x = 412,914,197,056/301,276
  6. Step 6: Final answer
    x = 1,370,551.25

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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.