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Finding the Third Proportional to 447,642 and 694,154

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Solution

The third proportional to 447,642 and 694,154 is: 1,076,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,642 : 694,154 = 694,154 : x
  2. Step 2: Convert to fraction form
    447,642/694,154 = 694,154/x
  3. Step 3: Cross multiply
    447,642x = 694,154 × 694,154
  4. Step 4: Simplify right side
    447,642x = 481,849,775,716
  5. Step 5: Solve for x
    x = 481,849,775,716/447,642
  6. Step 6: Final answer
    x = 1,076,417.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.