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Finding the Third Proportional to 393,718.50 and 610,800.75

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Solution

The third proportional to 393,718.50 and 610,800.75 is: 947,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,718.50 : 610,800.75 = 610,800.75 : x
  2. Step 2: Convert to fraction form
    393,718.50/610,800.75 = 610,800.75/x
  3. Step 3: Cross multiply
    393,718.50x = 610,800.75 × 610,800.75
  4. Step 4: Simplify right side
    393,718.50x = 373,077,556,200.56
  5. Step 5: Solve for x
    x = 373,077,556,200.56/393,718.50
  6. Step 6: Final answer
    x = 947,574.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.