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Finding the Third Proportional to 525,285 and 764,964

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Solution

The third proportional to 525,285 and 764,964 is: 1,114,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,285 : 764,964 = 764,964 : x
  2. Step 2: Convert to fraction form
    525,285/764,964 = 764,964/x
  3. Step 3: Cross multiply
    525,285x = 764,964 × 764,964
  4. Step 4: Simplify right side
    525,285x = 585,169,921,296
  5. Step 5: Solve for x
    x = 585,169,921,296/525,285
  6. Step 6: Final answer
    x = 1,114,004.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.