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Finding the Third Proportional to 433,938.75 and 889,018.50

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Solution

The third proportional to 433,938.75 and 889,018.50 is: 1,821,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,938.75 : 889,018.50 = 889,018.50 : x
  2. Step 2: Convert to fraction form
    433,938.75/889,018.50 = 889,018.50/x
  3. Step 3: Cross multiply
    433,938.75x = 889,018.50 × 889,018.50
  4. Step 4: Simplify right side
    433,938.75x = 790,353,893,342.25
  5. Step 5: Solve for x
    x = 790,353,893,342.25/433,938.75
  6. Step 6: Final answer
    x = 1,821,348.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.