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Finding the Third Proportional to 528,669 and 851,242

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Solution

The third proportional to 528,669 and 851,242 is: 1,370,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,669 : 851,242 = 851,242 : x
  2. Step 2: Convert to fraction form
    528,669/851,242 = 851,242/x
  3. Step 3: Cross multiply
    528,669x = 851,242 × 851,242
  4. Step 4: Simplify right side
    528,669x = 724,612,942,564
  5. Step 5: Solve for x
    x = 724,612,942,564/528,669
  6. Step 6: Final answer
    x = 1,370,636.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.