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Finding the Third Proportional to 524,862 and 787,155

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Solution

The third proportional to 524,862 and 787,155 is: 1,180,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,862 : 787,155 = 787,155 : x
  2. Step 2: Convert to fraction form
    524,862/787,155 = 787,155/x
  3. Step 3: Cross multiply
    524,862x = 787,155 × 787,155
  4. Step 4: Simplify right side
    524,862x = 619,612,994,025
  5. Step 5: Solve for x
    x = 619,612,994,025/524,862
  6. Step 6: Final answer
    x = 1,180,525.54

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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.