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Finding the Third Proportional to 465,324 and 701,868

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Solution

The third proportional to 465,324 and 701,868 is: 1,058,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,324 : 701,868 = 701,868 : x
  2. Step 2: Convert to fraction form
    465,324/701,868 = 701,868/x
  3. Step 3: Cross multiply
    465,324x = 701,868 × 701,868
  4. Step 4: Simplify right side
    465,324x = 492,618,689,424
  5. Step 5: Solve for x
    x = 492,618,689,424/465,324
  6. Step 6: Final answer
    x = 1,058,657.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.