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Finding the Third Proportional to 508,088 and 1,083,664

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Solution

The third proportional to 508,088 and 1,083,664 is: 2,311,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,088 : 1,083,664 = 1,083,664 : x
  2. Step 2: Convert to fraction form
    508,088/1,083,664 = 1,083,664/x
  3. Step 3: Cross multiply
    508,088x = 1,083,664 × 1,083,664
  4. Step 4: Simplify right side
    508,088x = 1,174,327,664,896
  5. Step 5: Solve for x
    x = 1,174,327,664,896/508,088
  6. Step 6: Final answer
    x = 2,311,268.25

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.