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Finding the Third Proportional to 347,011.50 and 835,964

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Solution

The third proportional to 347,011.50 and 835,964 is: 2,013,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,011.50 : 835,964 = 835,964 : x
  2. Step 2: Convert to fraction form
    347,011.50/835,964 = 835,964/x
  3. Step 3: Cross multiply
    347,011.50x = 835,964 × 835,964
  4. Step 4: Simplify right side
    347,011.50x = 698,835,809,296
  5. Step 5: Solve for x
    x = 698,835,809,296/347,011.50
  6. Step 6: Final answer
    x = 2,013,869.31

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.