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Finding the Third Proportional to 417,398 and 559,173

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Solution

The third proportional to 417,398 and 559,173 is: 749,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,398 : 559,173 = 559,173 : x
  2. Step 2: Convert to fraction form
    417,398/559,173 = 559,173/x
  3. Step 3: Cross multiply
    417,398x = 559,173 × 559,173
  4. Step 4: Simplify right side
    417,398x = 312,674,443,929
  5. Step 5: Solve for x
    x = 312,674,443,929/417,398
  6. Step 6: Final answer
    x = 749,103.84

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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.