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Finding the Third Proportional to 522,246 and 704,634

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Solution

The third proportional to 522,246 and 704,634 is: 950,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,246 : 704,634 = 704,634 : x
  2. Step 2: Convert to fraction form
    522,246/704,634 = 704,634/x
  3. Step 3: Cross multiply
    522,246x = 704,634 × 704,634
  4. Step 4: Simplify right side
    522,246x = 496,509,073,956
  5. Step 5: Solve for x
    x = 496,509,073,956/522,246
  6. Step 6: Final answer
    x = 950,718.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.