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Finding the Third Proportional to 524,857 and 787,148

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Solution

The third proportional to 524,857 and 787,148 is: 1,180,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,857 : 787,148 = 787,148 : x
  2. Step 2: Convert to fraction form
    524,857/787,148 = 787,148/x
  3. Step 3: Cross multiply
    524,857x = 787,148 × 787,148
  4. Step 4: Simplify right side
    524,857x = 619,601,973,904
  5. Step 5: Solve for x
    x = 619,601,973,904/524,857
  6. Step 6: Final answer
    x = 1,180,515.79

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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.