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Finding the Third Proportional to 803,767.50 and 1,733,736.38

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Solution

The third proportional to 803,767.50 and 1,733,736.38 is: 3,739,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,767.50 : 1,733,736.38 = 1,733,736.38 : x
  2. Step 2: Convert to fraction form
    803,767.50/1,733,736.38 = 1,733,736.38/x
  3. Step 3: Cross multiply
    803,767.50x = 1,733,736.38 × 1,733,736.38
  4. Step 4: Simplify right side
    803,767.50x = 3,005,841,817,998.14
  5. Step 5: Solve for x
    x = 3,005,841,817,998.14/803,767.50
  6. Step 6: Final answer
    x = 3,739,690.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.