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Finding the Third Proportional to 433,819.13 and 934,250.63

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Solution

The third proportional to 433,819.13 and 934,250.63 is: 2,011,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,819.13 : 934,250.63 = 934,250.63 : x
  2. Step 2: Convert to fraction form
    433,819.13/934,250.63 = 934,250.63/x
  3. Step 3: Cross multiply
    433,819.13x = 934,250.63 × 934,250.63
  4. Step 4: Simplify right side
    433,819.13x = 872,824,230,312.89
  5. Step 5: Solve for x
    x = 872,824,230,312.89/433,819.13
  6. Step 6: Final answer
    x = 2,011,954.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.