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Finding the Third Proportional to 453,675.94 and 670,168.69

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Solution

The third proportional to 453,675.94 and 670,168.69 is: 989,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,675.94 : 670,168.69 = 670,168.69 : x
  2. Step 2: Convert to fraction form
    453,675.94/670,168.69 = 670,168.69/x
  3. Step 3: Cross multiply
    453,675.94x = 670,168.69 × 670,168.69
  4. Step 4: Simplify right side
    453,675.94x = 449,126,069,705.47
  5. Step 5: Solve for x
    x = 449,126,069,705.47/453,675.94
  6. Step 6: Final answer
    x = 989,971.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.