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Finding the Third Proportional to 525,261 and 1,024,275

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Solution

The third proportional to 525,261 and 1,024,275 is: 1,997,367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,261 : 1,024,275 = 1,024,275 : x
  2. Step 2: Convert to fraction form
    525,261/1,024,275 = 1,024,275/x
  3. Step 3: Cross multiply
    525,261x = 1,024,275 × 1,024,275
  4. Step 4: Simplify right side
    525,261x = 1,049,139,275,625
  5. Step 5: Solve for x
    x = 1,049,139,275,625/525,261
  6. Step 6: Final answer
    x = 1,997,367.55

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.