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Finding the Third Proportional to 524,864 and 787,158

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Solution

The third proportional to 524,864 and 787,158 is: 1,180,530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,864 : 787,158 = 787,158 : x
  2. Step 2: Convert to fraction form
    524,864/787,158 = 787,158/x
  3. Step 3: Cross multiply
    524,864x = 787,158 × 787,158
  4. Step 4: Simplify right side
    524,864x = 619,617,716,964
  5. Step 5: Solve for x
    x = 619,617,716,964/524,864
  6. Step 6: Final answer
    x = 1,180,530.04

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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.