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Finding the Third Proportional to 355,234 and 500,303

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Solution

The third proportional to 355,234 and 500,303 is: 704,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,234 : 500,303 = 500,303 : x
  2. Step 2: Convert to fraction form
    355,234/500,303 = 500,303/x
  3. Step 3: Cross multiply
    355,234x = 500,303 × 500,303
  4. Step 4: Simplify right side
    355,234x = 250,303,091,809
  5. Step 5: Solve for x
    x = 250,303,091,809/355,234
  6. Step 6: Final answer
    x = 704,614.68

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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.