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Finding the Third Proportional to 402,311.50 and 837,693

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Solution

The third proportional to 402,311.50 and 837,693 is: 1,744,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,311.50 : 837,693 = 837,693 : x
  2. Step 2: Convert to fraction form
    402,311.50/837,693 = 837,693/x
  3. Step 3: Cross multiply
    402,311.50x = 837,693 × 837,693
  4. Step 4: Simplify right side
    402,311.50x = 701,729,562,249
  5. Step 5: Solve for x
    x = 701,729,562,249/402,311.50
  6. Step 6: Final answer
    x = 1,744,244.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.