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Finding the Third Proportional to 522,477 and 781,690.50

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Solution

The third proportional to 522,477 and 781,690.50 is: 1,169,506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,477 : 781,690.50 = 781,690.50 : x
  2. Step 2: Convert to fraction form
    522,477/781,690.50 = 781,690.50/x
  3. Step 3: Cross multiply
    522,477x = 781,690.50 × 781,690.50
  4. Step 4: Simplify right side
    522,477x = 611,040,037,790.25
  5. Step 5: Solve for x
    x = 611,040,037,790.25/522,477
  6. Step 6: Final answer
    x = 1,169,506.10

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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.