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Finding the Third Proportional to 658,326 and 983,181

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Solution

The third proportional to 658,326 and 983,181 is: 1,468,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,326 : 983,181 = 983,181 : x
  2. Step 2: Convert to fraction form
    658,326/983,181 = 983,181/x
  3. Step 3: Cross multiply
    658,326x = 983,181 × 983,181
  4. Step 4: Simplify right side
    658,326x = 966,644,878,761
  5. Step 5: Solve for x
    x = 966,644,878,761/658,326
  6. Step 6: Final answer
    x = 1,468,337.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.