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Finding the Third Proportional to 525,284 and 814,926

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Solution

The third proportional to 525,284 and 814,926 is: 1,264,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,284 : 814,926 = 814,926 : x
  2. Step 2: Convert to fraction form
    525,284/814,926 = 814,926/x
  3. Step 3: Cross multiply
    525,284x = 814,926 × 814,926
  4. Step 4: Simplify right side
    525,284x = 664,104,385,476
  5. Step 5: Solve for x
    x = 664,104,385,476/525,284
  6. Step 6: Final answer
    x = 1,264,276.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.