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Finding the Third Proportional to 364,504 and 794,430

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Solution

The third proportional to 364,504 and 794,430 is: 1,731,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,504 : 794,430 = 794,430 : x
  2. Step 2: Convert to fraction form
    364,504/794,430 = 794,430/x
  3. Step 3: Cross multiply
    364,504x = 794,430 × 794,430
  4. Step 4: Simplify right side
    364,504x = 631,119,024,900
  5. Step 5: Solve for x
    x = 631,119,024,900/364,504
  6. Step 6: Final answer
    x = 1,731,446.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.