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Finding the Third Proportional to 306,769,293 and 431,491,495.50

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Solution

The third proportional to 306,769,293 and 431,491,495.50 is: 606,921,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,769,293 : 431,491,495.50 = 431,491,495.50 : x
  2. Step 2: Convert to fraction form
    306,769,293/431,491,495.50 = 431,491,495.50/x
  3. Step 3: Cross multiply
    306,769,293x = 431,491,495.50 × 431,491,495.50
  4. Step 4: Simplify right side
    306,769,293x = 186,184,910,688,826,528
  5. Step 5: Solve for x
    x = 186,184,910,688,826,528/306,769,293
  6. Step 6: Final answer
    x = 606,921,601.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.