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Finding the Third Proportional to 428,384.25 and 930,510

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Solution

The third proportional to 428,384.25 and 930,510 is: 2,021,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,384.25 : 930,510 = 930,510 : x
  2. Step 2: Convert to fraction form
    428,384.25/930,510 = 930,510/x
  3. Step 3: Cross multiply
    428,384.25x = 930,510 × 930,510
  4. Step 4: Simplify right side
    428,384.25x = 865,848,860,100
  5. Step 5: Solve for x
    x = 865,848,860,100/428,384.25
  6. Step 6: Final answer
    x = 2,021,196.76

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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.