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Finding the Third Proportional to 449,006 and 678,173

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Solution

The third proportional to 449,006 and 678,173 is: 1,024,303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,006 : 678,173 = 678,173 : x
  2. Step 2: Convert to fraction form
    449,006/678,173 = 678,173/x
  3. Step 3: Cross multiply
    449,006x = 678,173 × 678,173
  4. Step 4: Simplify right side
    449,006x = 459,918,617,929
  5. Step 5: Solve for x
    x = 459,918,617,929/449,006
  6. Step 6: Final answer
    x = 1,024,303.95

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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.