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Finding the Third Proportional to 385,425.84 and 829,905.75

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Solution

The third proportional to 385,425.84 and 829,905.75 is: 1,786,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,425.84 : 829,905.75 = 829,905.75 : x
  2. Step 2: Convert to fraction form
    385,425.84/829,905.75 = 829,905.75/x
  3. Step 3: Cross multiply
    385,425.84x = 829,905.75 × 829,905.75
  4. Step 4: Simplify right side
    385,425.84x = 688,743,553,883.06
  5. Step 5: Solve for x
    x = 688,743,553,883.06/385,425.84
  6. Step 6: Final answer
    x = 1,786,967.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.