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Finding the Third Proportional to 452,530.25 and 670,968

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Solution

The third proportional to 452,530.25 and 670,968 is: 994,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,530.25 : 670,968 = 670,968 : x
  2. Step 2: Convert to fraction form
    452,530.25/670,968 = 670,968/x
  3. Step 3: Cross multiply
    452,530.25x = 670,968 × 670,968
  4. Step 4: Simplify right side
    452,530.25x = 450,198,057,024
  5. Step 5: Solve for x
    x = 450,198,057,024/452,530.25
  6. Step 6: Final answer
    x = 994,846.33

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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.