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Finding the Third Proportional to 384,673.50 and 890,525.25

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Solution

The third proportional to 384,673.50 and 890,525.25 is: 2,061,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,673.50 : 890,525.25 = 890,525.25 : x
  2. Step 2: Convert to fraction form
    384,673.50/890,525.25 = 890,525.25/x
  3. Step 3: Cross multiply
    384,673.50x = 890,525.25 × 890,525.25
  4. Step 4: Simplify right side
    384,673.50x = 793,035,220,887.56
  5. Step 5: Solve for x
    x = 793,035,220,887.56/384,673.50
  6. Step 6: Final answer
    x = 2,061,580.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.