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Finding the Third Proportional to 426,569 and 642,557

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Solution

The third proportional to 426,569 and 642,557 is: 967,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,569 : 642,557 = 642,557 : x
  2. Step 2: Convert to fraction form
    426,569/642,557 = 642,557/x
  3. Step 3: Cross multiply
    426,569x = 642,557 × 642,557
  4. Step 4: Simplify right side
    426,569x = 412,879,498,249
  5. Step 5: Solve for x
    x = 412,879,498,249/426,569
  6. Step 6: Final answer
    x = 967,907.88

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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.