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Finding the Third Proportional to 370,834 and 807,763

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Solution

The third proportional to 370,834 and 807,763 is: 1,759,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,834 : 807,763 = 807,763 : x
  2. Step 2: Convert to fraction form
    370,834/807,763 = 807,763/x
  3. Step 3: Cross multiply
    370,834x = 807,763 × 807,763
  4. Step 4: Simplify right side
    370,834x = 652,481,064,169
  5. Step 5: Solve for x
    x = 652,481,064,169/370,834
  6. Step 6: Final answer
    x = 1,759,496.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.