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Finding the Third Proportional to 449,730 and 683,804

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Solution

The third proportional to 449,730 and 683,804 is: 1,039,708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,730 : 683,804 = 683,804 : x
  2. Step 2: Convert to fraction form
    449,730/683,804 = 683,804/x
  3. Step 3: Cross multiply
    449,730x = 683,804 × 683,804
  4. Step 4: Simplify right side
    449,730x = 467,587,910,416
  5. Step 5: Solve for x
    x = 467,587,910,416/449,730
  6. Step 6: Final answer
    x = 1,039,708.07

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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.