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Finding the Third Proportional to 384,747.75 and 835,209

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Solution

The third proportional to 384,747.75 and 835,209 is: 1,813,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,747.75 : 835,209 = 835,209 : x
  2. Step 2: Convert to fraction form
    384,747.75/835,209 = 835,209/x
  3. Step 3: Cross multiply
    384,747.75x = 835,209 × 835,209
  4. Step 4: Simplify right side
    384,747.75x = 697,574,073,681
  5. Step 5: Solve for x
    x = 697,574,073,681/384,747.75
  6. Step 6: Final answer
    x = 1,813,068.62

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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.