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Finding the Third Proportional to 524,756 and 787,518

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Solution

The third proportional to 524,756 and 787,518 is: 1,181,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,756 : 787,518 = 787,518 : x
  2. Step 2: Convert to fraction form
    524,756/787,518 = 787,518/x
  3. Step 3: Cross multiply
    524,756x = 787,518 × 787,518
  4. Step 4: Simplify right side
    524,756x = 620,184,600,324
  5. Step 5: Solve for x
    x = 620,184,600,324/524,756
  6. Step 6: Final answer
    x = 1,181,853.28

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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.