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Finding the Third Proportional to 465,967 and 692,386

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Solution

The third proportional to 465,967 and 692,386 is: 1,028,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,967 : 692,386 = 692,386 : x
  2. Step 2: Convert to fraction form
    465,967/692,386 = 692,386/x
  3. Step 3: Cross multiply
    465,967x = 692,386 × 692,386
  4. Step 4: Simplify right side
    465,967x = 479,398,372,996
  5. Step 5: Solve for x
    x = 479,398,372,996/465,967
  6. Step 6: Final answer
    x = 1,028,824.73

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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.