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Finding the Third Proportional to 658,320 and 983,173

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Solution

The third proportional to 658,320 and 983,173 is: 1,468,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,320 : 983,173 = 983,173 : x
  2. Step 2: Convert to fraction form
    658,320/983,173 = 983,173/x
  3. Step 3: Cross multiply
    658,320x = 983,173 × 983,173
  4. Step 4: Simplify right side
    658,320x = 966,629,147,929
  5. Step 5: Solve for x
    x = 966,629,147,929/658,320
  6. Step 6: Final answer
    x = 1,468,327.18

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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.