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Finding the Third Proportional to 385,872 and 830,928

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Solution

The third proportional to 385,872 and 830,928 is: 1,789,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,872 : 830,928 = 830,928 : x
  2. Step 2: Convert to fraction form
    385,872/830,928 = 830,928/x
  3. Step 3: Cross multiply
    385,872x = 830,928 × 830,928
  4. Step 4: Simplify right side
    385,872x = 690,441,341,184
  5. Step 5: Solve for x
    x = 690,441,341,184/385,872
  6. Step 6: Final answer
    x = 1,789,301.48

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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.