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Finding the Third Proportional to 441,490.50 and 683,457.75

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Solution

The third proportional to 441,490.50 and 683,457.75 is: 1,058,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,490.50 : 683,457.75 = 683,457.75 : x
  2. Step 2: Convert to fraction form
    441,490.50/683,457.75 = 683,457.75/x
  3. Step 3: Cross multiply
    441,490.50x = 683,457.75 × 683,457.75
  4. Step 4: Simplify right side
    441,490.50x = 467,114,496,035.06
  5. Step 5: Solve for x
    x = 467,114,496,035.06/441,490.50
  6. Step 6: Final answer
    x = 1,058,039.74

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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.