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Finding the Third Proportional to 443,308 and 594,114

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Solution

The third proportional to 443,308 and 594,114 is: 796,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,308 : 594,114 = 594,114 : x
  2. Step 2: Convert to fraction form
    443,308/594,114 = 594,114/x
  3. Step 3: Cross multiply
    443,308x = 594,114 × 594,114
  4. Step 4: Simplify right side
    443,308x = 352,971,444,996
  5. Step 5: Solve for x
    x = 352,971,444,996/443,308
  6. Step 6: Final answer
    x = 796,221.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.