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Finding the Third Proportional to 417,992 and 626,014

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Solution

The third proportional to 417,992 and 626,014 is: 937,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,992 : 626,014 = 626,014 : x
  2. Step 2: Convert to fraction form
    417,992/626,014 = 626,014/x
  3. Step 3: Cross multiply
    417,992x = 626,014 × 626,014
  4. Step 4: Simplify right side
    417,992x = 391,893,528,196
  5. Step 5: Solve for x
    x = 391,893,528,196/417,992
  6. Step 6: Final answer
    x = 937,562.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.