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Finding the Third Proportional to 658,323 and 983,178

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Solution

The third proportional to 658,323 and 983,178 is: 1,468,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,323 : 983,178 = 983,178 : x
  2. Step 2: Convert to fraction form
    658,323/983,178 = 983,178/x
  3. Step 3: Cross multiply
    658,323x = 983,178 × 983,178
  4. Step 4: Simplify right side
    658,323x = 966,638,979,684
  5. Step 5: Solve for x
    x = 966,638,979,684/658,323
  6. Step 6: Final answer
    x = 1,468,335.42

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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.