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Finding the Third Proportional to 347,368.50 and 519,585.75

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Solution

The third proportional to 347,368.50 and 519,585.75 is: 777,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,368.50 : 519,585.75 = 519,585.75 : x
  2. Step 2: Convert to fraction form
    347,368.50/519,585.75 = 519,585.75/x
  3. Step 3: Cross multiply
    347,368.50x = 519,585.75 × 519,585.75
  4. Step 4: Simplify right side
    347,368.50x = 269,969,351,603.06
  5. Step 5: Solve for x
    x = 269,969,351,603.06/347,368.50
  6. Step 6: Final answer
    x = 777,184.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.