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Finding the Third Proportional to 452,533 and 670,971.50

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Solution

The third proportional to 452,533 and 670,971.50 is: 994,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,533 : 670,971.50 = 670,971.50 : x
  2. Step 2: Convert to fraction form
    452,533/670,971.50 = 670,971.50/x
  3. Step 3: Cross multiply
    452,533x = 670,971.50 × 670,971.50
  4. Step 4: Simplify right side
    452,533x = 450,202,753,812.25
  5. Step 5: Solve for x
    x = 450,202,753,812.25/452,533
  6. Step 6: Final answer
    x = 994,850.66

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