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Finding the Third Proportional to 402,440.50 and 837,881

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Solution

The third proportional to 402,440.50 and 837,881 is: 1,744,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,440.50 : 837,881 = 837,881 : x
  2. Step 2: Convert to fraction form
    402,440.50/837,881 = 837,881/x
  3. Step 3: Cross multiply
    402,440.50x = 837,881 × 837,881
  4. Step 4: Simplify right side
    402,440.50x = 702,044,570,161
  5. Step 5: Solve for x
    x = 702,044,570,161/402,440.50
  6. Step 6: Final answer
    x = 1,744,467.99

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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.