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Finding the Third Proportional to 520,566 and 787,410

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Solution

The third proportional to 520,566 and 787,410 is: 1,191,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,566 : 787,410 = 787,410 : x
  2. Step 2: Convert to fraction form
    520,566/787,410 = 787,410/x
  3. Step 3: Cross multiply
    520,566x = 787,410 × 787,410
  4. Step 4: Simplify right side
    520,566x = 620,014,508,100
  5. Step 5: Solve for x
    x = 620,014,508,100/520,566
  6. Step 6: Final answer
    x = 1,191,039.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.