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Finding the Third Proportional to 405,066.50 and 886,381

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Solution

The third proportional to 405,066.50 and 886,381 is: 1,939,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,066.50 : 886,381 = 886,381 : x
  2. Step 2: Convert to fraction form
    405,066.50/886,381 = 886,381/x
  3. Step 3: Cross multiply
    405,066.50x = 886,381 × 886,381
  4. Step 4: Simplify right side
    405,066.50x = 785,671,277,161
  5. Step 5: Solve for x
    x = 785,671,277,161/405,066.50
  6. Step 6: Final answer
    x = 1,939,610.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.