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Finding the Third Proportional to 449,734 and 683,810

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Solution

The third proportional to 449,734 and 683,810 is: 1,039,717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,734 : 683,810 = 683,810 : x
  2. Step 2: Convert to fraction form
    449,734/683,810 = 683,810/x
  3. Step 3: Cross multiply
    449,734x = 683,810 × 683,810
  4. Step 4: Simplify right side
    449,734x = 467,596,116,100
  5. Step 5: Solve for x
    x = 467,596,116,100/449,734
  6. Step 6: Final answer
    x = 1,039,717.07

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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.