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Finding the Third Proportional to 383,333.63 and 840,478.50

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Solution

The third proportional to 383,333.63 and 840,478.50 is: 1,842,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,333.63 : 840,478.50 = 840,478.50 : x
  2. Step 2: Convert to fraction form
    383,333.63/840,478.50 = 840,478.50/x
  3. Step 3: Cross multiply
    383,333.63x = 840,478.50 × 840,478.50
  4. Step 4: Simplify right side
    383,333.63x = 706,404,108,962.25
  5. Step 5: Solve for x
    x = 706,404,108,962.25/383,333.63
  6. Step 6: Final answer
    x = 1,842,791.93

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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.