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Finding the Third Proportional to 354,525.50 and 758,885.50

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Solution

The third proportional to 354,525.50 and 758,885.50 is: 1,624,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,525.50 : 758,885.50 = 758,885.50 : x
  2. Step 2: Convert to fraction form
    354,525.50/758,885.50 = 758,885.50/x
  3. Step 3: Cross multiply
    354,525.50x = 758,885.50 × 758,885.50
  4. Step 4: Simplify right side
    354,525.50x = 575,907,202,110.25
  5. Step 5: Solve for x
    x = 575,907,202,110.25/354,525.50
  6. Step 6: Final answer
    x = 1,624,445.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.