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Finding the Third Proportional to 373,083 and 814,462.50

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Solution

The third proportional to 373,083 and 814,462.50 is: 1,778,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,083 : 814,462.50 = 814,462.50 : x
  2. Step 2: Convert to fraction form
    373,083/814,462.50 = 814,462.50/x
  3. Step 3: Cross multiply
    373,083x = 814,462.50 × 814,462.50
  4. Step 4: Simplify right side
    373,083x = 663,349,163,906.25
  5. Step 5: Solve for x
    x = 663,349,163,906.25/373,083
  6. Step 6: Final answer
    x = 1,778,020.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.