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Finding the Third Proportional to 405,114 and 883,129.50

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Solution

The third proportional to 405,114 and 883,129.50 is: 1,925,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,114 : 883,129.50 = 883,129.50 : x
  2. Step 2: Convert to fraction form
    405,114/883,129.50 = 883,129.50/x
  3. Step 3: Cross multiply
    405,114x = 883,129.50 × 883,129.50
  4. Step 4: Simplify right side
    405,114x = 779,917,713,770.25
  5. Step 5: Solve for x
    x = 779,917,713,770.25/405,114
  6. Step 6: Final answer
    x = 1,925,180.85

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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.