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Finding the Third Proportional to 236,984.63 and 493,659

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Solution

The third proportional to 236,984.63 and 493,659 is: 1,028,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,984.63 : 493,659 = 493,659 : x
  2. Step 2: Convert to fraction form
    236,984.63/493,659 = 493,659/x
  3. Step 3: Cross multiply
    236,984.63x = 493,659 × 493,659
  4. Step 4: Simplify right side
    236,984.63x = 243,699,208,281
  5. Step 5: Solve for x
    x = 243,699,208,281/236,984.63
  6. Step 6: Final answer
    x = 1,028,333.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.