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Finding the Third Proportional to 453,468 and 677,832

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Solution

The third proportional to 453,468 and 677,832 is: 1,013,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,468 : 677,832 = 677,832 : x
  2. Step 2: Convert to fraction form
    453,468/677,832 = 677,832/x
  3. Step 3: Cross multiply
    453,468x = 677,832 × 677,832
  4. Step 4: Simplify right side
    453,468x = 459,456,220,224
  5. Step 5: Solve for x
    x = 459,456,220,224/453,468
  6. Step 6: Final answer
    x = 1,013,205.39

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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.