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Finding the Third Proportional to 517,440 and 784,907.50

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Solution

The third proportional to 517,440 and 784,907.50 is: 1,190,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,440 : 784,907.50 = 784,907.50 : x
  2. Step 2: Convert to fraction form
    517,440/784,907.50 = 784,907.50/x
  3. Step 3: Cross multiply
    517,440x = 784,907.50 × 784,907.50
  4. Step 4: Simplify right side
    517,440x = 616,079,783,556.25
  5. Step 5: Solve for x
    x = 616,079,783,556.25/517,440
  6. Step 6: Final answer
    x = 1,190,630.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.