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Finding the Third Proportional to 193,584 and 417,786

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Solution

The third proportional to 193,584 and 417,786 is: 901,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,584 : 417,786 = 417,786 : x
  2. Step 2: Convert to fraction form
    193,584/417,786 = 417,786/x
  3. Step 3: Cross multiply
    193,584x = 417,786 × 417,786
  4. Step 4: Simplify right side
    193,584x = 174,545,141,796
  5. Step 5: Solve for x
    x = 174,545,141,796/193,584
  6. Step 6: Final answer
    x = 901,650.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.