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Finding the Third Proportional to 295,632 and 450,828

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Solution

The third proportional to 295,632 and 450,828 is: 687,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,632 : 450,828 = 450,828 : x
  2. Step 2: Convert to fraction form
    295,632/450,828 = 450,828/x
  3. Step 3: Cross multiply
    295,632x = 450,828 × 450,828
  4. Step 4: Simplify right side
    295,632x = 203,245,885,584
  5. Step 5: Solve for x
    x = 203,245,885,584/295,632
  6. Step 6: Final answer
    x = 687,496.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.