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Finding the Third Proportional to 522,525 and 807,573

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Solution

The third proportional to 522,525 and 807,573 is: 1,248,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,525 : 807,573 = 807,573 : x
  2. Step 2: Convert to fraction form
    522,525/807,573 = 807,573/x
  3. Step 3: Cross multiply
    522,525x = 807,573 × 807,573
  4. Step 4: Simplify right side
    522,525x = 652,174,150,329
  5. Step 5: Solve for x
    x = 652,174,150,329/522,525
  6. Step 6: Final answer
    x = 1,248,120.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.