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Finding the Third Proportional to 449,746 and 683,826

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Solution

The third proportional to 449,746 and 683,826 is: 1,039,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,746 : 683,826 = 683,826 : x
  2. Step 2: Convert to fraction form
    449,746/683,826 = 683,826/x
  3. Step 3: Cross multiply
    449,746x = 683,826 × 683,826
  4. Step 4: Simplify right side
    449,746x = 467,617,998,276
  5. Step 5: Solve for x
    x = 467,617,998,276/449,746
  6. Step 6: Final answer
    x = 1,039,737.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.