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Finding the Third Proportional to 522,240 and 704,630

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Solution

The third proportional to 522,240 and 704,630 is: 950,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,240 : 704,630 = 704,630 : x
  2. Step 2: Convert to fraction form
    522,240/704,630 = 704,630/x
  3. Step 3: Cross multiply
    522,240x = 704,630 × 704,630
  4. Step 4: Simplify right side
    522,240x = 496,503,436,900
  5. Step 5: Solve for x
    x = 496,503,436,900/522,240
  6. Step 6: Final answer
    x = 950,718.90

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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.