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Finding the Third Proportional to 509,526 and 764,415

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Solution

The third proportional to 509,526 and 764,415 is: 1,146,811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,526 : 764,415 = 764,415 : x
  2. Step 2: Convert to fraction form
    509,526/764,415 = 764,415/x
  3. Step 3: Cross multiply
    509,526x = 764,415 × 764,415
  4. Step 4: Simplify right side
    509,526x = 584,330,292,225
  5. Step 5: Solve for x
    x = 584,330,292,225/509,526
  6. Step 6: Final answer
    x = 1,146,811.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.