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Finding the Third Proportional to 362,684 and 544,342

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Solution

The third proportional to 362,684 and 544,342 is: 816,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,684 : 544,342 = 544,342 : x
  2. Step 2: Convert to fraction form
    362,684/544,342 = 544,342/x
  3. Step 3: Cross multiply
    362,684x = 544,342 × 544,342
  4. Step 4: Simplify right side
    362,684x = 296,308,212,964
  5. Step 5: Solve for x
    x = 296,308,212,964/362,684
  6. Step 6: Final answer
    x = 816,987.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.