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Finding the Third Proportional to 355,797 and 781,578

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Solution

The third proportional to 355,797 and 781,578 is: 1,716,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,797 : 781,578 = 781,578 : x
  2. Step 2: Convert to fraction form
    355,797/781,578 = 781,578/x
  3. Step 3: Cross multiply
    355,797x = 781,578 × 781,578
  4. Step 4: Simplify right side
    355,797x = 610,864,170,084
  5. Step 5: Solve for x
    x = 610,864,170,084/355,797
  6. Step 6: Final answer
    x = 1,716,889.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.