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Finding the Third Proportional to 458,018 and 632,883

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Solution

The third proportional to 458,018 and 632,883 is: 874,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,018 : 632,883 = 632,883 : x
  2. Step 2: Convert to fraction form
    458,018/632,883 = 632,883/x
  3. Step 3: Cross multiply
    458,018x = 632,883 × 632,883
  4. Step 4: Simplify right side
    458,018x = 400,540,891,689
  5. Step 5: Solve for x
    x = 400,540,891,689/458,018
  6. Step 6: Final answer
    x = 874,509.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.