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Finding the Third Proportional to 658,319 and 983,172

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Solution

The third proportional to 658,319 and 983,172 is: 1,468,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,319 : 983,172 = 983,172 : x
  2. Step 2: Convert to fraction form
    658,319/983,172 = 983,172/x
  3. Step 3: Cross multiply
    658,319x = 983,172 × 983,172
  4. Step 4: Simplify right side
    658,319x = 966,627,181,584
  5. Step 5: Solve for x
    x = 966,627,181,584/658,319
  6. Step 6: Final answer
    x = 1,468,326.42

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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.