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Finding the Third Proportional to 433,544.91 and 913,829.34

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Solution

The third proportional to 433,544.91 and 913,829.34 is: 1,926,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,544.91 : 913,829.34 = 913,829.34 : x
  2. Step 2: Convert to fraction form
    433,544.91/913,829.34 = 913,829.34/x
  3. Step 3: Cross multiply
    433,544.91x = 913,829.34 × 913,829.34
  4. Step 4: Simplify right side
    433,544.91x = 835,084,069,498.56
  5. Step 5: Solve for x
    x = 835,084,069,498.56/433,544.91
  6. Step 6: Final answer
    x = 1,926,176.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.