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Finding the Third Proportional to 442,269 and 662,708

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Solution

The third proportional to 442,269 and 662,708 is: 993,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,269 : 662,708 = 662,708 : x
  2. Step 2: Convert to fraction form
    442,269/662,708 = 662,708/x
  3. Step 3: Cross multiply
    442,269x = 662,708 × 662,708
  4. Step 4: Simplify right side
    442,269x = 439,181,893,264
  5. Step 5: Solve for x
    x = 439,181,893,264/442,269
  6. Step 6: Final answer
    x = 993,019.84

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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.