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Finding the Third Proportional to 524,864 and 787,157

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Solution

The third proportional to 524,864 and 787,157 is: 1,180,527.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,864 : 787,157 = 787,157 : x
  2. Step 2: Convert to fraction form
    524,864/787,157 = 787,157/x
  3. Step 3: Cross multiply
    524,864x = 787,157 × 787,157
  4. Step 4: Simplify right side
    524,864x = 619,616,142,649
  5. Step 5: Solve for x
    x = 619,616,142,649/524,864
  6. Step 6: Final answer
    x = 1,180,527.04

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Why These Related Problems?

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