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Finding the Third Proportional to 508,113 and 743,088

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Solution

The third proportional to 508,113 and 743,088 is: 1,086,726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,113 : 743,088 = 743,088 : x
  2. Step 2: Convert to fraction form
    508,113/743,088 = 743,088/x
  3. Step 3: Cross multiply
    508,113x = 743,088 × 743,088
  4. Step 4: Simplify right side
    508,113x = 552,179,775,744
  5. Step 5: Solve for x
    x = 552,179,775,744/508,113
  6. Step 6: Final answer
    x = 1,086,726.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.