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Finding the Third Proportional to 466,533 and 699,678

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Solution

The third proportional to 466,533 and 699,678 is: 1,049,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,533 : 699,678 = 699,678 : x
  2. Step 2: Convert to fraction form
    466,533/699,678 = 699,678/x
  3. Step 3: Cross multiply
    466,533x = 699,678 × 699,678
  4. Step 4: Simplify right side
    466,533x = 489,549,303,684
  5. Step 5: Solve for x
    x = 489,549,303,684/466,533
  6. Step 6: Final answer
    x = 1,049,334.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.