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Finding the Third Proportional to 405,068.50 and 886,383

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Solution

The third proportional to 405,068.50 and 886,383 is: 1,939,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,068.50 : 886,383 = 886,383 : x
  2. Step 2: Convert to fraction form
    405,068.50/886,383 = 886,383/x
  3. Step 3: Cross multiply
    405,068.50x = 886,383 × 886,383
  4. Step 4: Simplify right side
    405,068.50x = 785,674,822,689
  5. Step 5: Solve for x
    x = 785,674,822,689/405,068.50
  6. Step 6: Final answer
    x = 1,939,609.78

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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.