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Finding the Third Proportional to 658,317 and 983,169

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Solution

The third proportional to 658,317 and 983,169 is: 1,468,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,317 : 983,169 = 983,169 : x
  2. Step 2: Convert to fraction form
    658,317/983,169 = 983,169/x
  3. Step 3: Cross multiply
    658,317x = 983,169 × 983,169
  4. Step 4: Simplify right side
    658,317x = 966,621,282,561
  5. Step 5: Solve for x
    x = 966,621,282,561/658,317
  6. Step 6: Final answer
    x = 1,468,321.92

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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.