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Finding the Third Proportional to 525,598 and 811,731

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Solution

The third proportional to 525,598 and 811,731 is: 1,253,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,598 : 811,731 = 811,731 : x
  2. Step 2: Convert to fraction form
    525,598/811,731 = 811,731/x
  3. Step 3: Cross multiply
    525,598x = 811,731 × 811,731
  4. Step 4: Simplify right side
    525,598x = 658,907,216,361
  5. Step 5: Solve for x
    x = 658,907,216,361/525,598
  6. Step 6: Final answer
    x = 1,253,633.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.