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Finding the Third Proportional to 350,788.22 and 564,944.63

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Solution

The third proportional to 350,788.22 and 564,944.63 is: 909,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,788.22 : 564,944.63 = 564,944.63 : x
  2. Step 2: Convert to fraction form
    350,788.22/564,944.63 = 564,944.63/x
  3. Step 3: Cross multiply
    350,788.22x = 564,944.63 × 564,944.63
  4. Step 4: Simplify right side
    350,788.22x = 319,162,429,316.39
  5. Step 5: Solve for x
    x = 319,162,429,316.39/350,788.22
  6. Step 6: Final answer
    x = 909,843.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.