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Finding the Third Proportional to 428,434.50 and 930,621

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Solution

The third proportional to 428,434.50 and 930,621 is: 2,021,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,434.50 : 930,621 = 930,621 : x
  2. Step 2: Convert to fraction form
    428,434.50/930,621 = 930,621/x
  3. Step 3: Cross multiply
    428,434.50x = 930,621 × 930,621
  4. Step 4: Simplify right side
    428,434.50x = 866,055,445,641
  5. Step 5: Solve for x
    x = 866,055,445,641/428,434.50
  6. Step 6: Final answer
    x = 2,021,441.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.