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Finding the Third Proportional to 515,356 and 770,664

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Solution

The third proportional to 515,356 and 770,664 is: 1,152,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,356 : 770,664 = 770,664 : x
  2. Step 2: Convert to fraction form
    515,356/770,664 = 770,664/x
  3. Step 3: Cross multiply
    515,356x = 770,664 × 770,664
  4. Step 4: Simplify right side
    515,356x = 593,923,000,896
  5. Step 5: Solve for x
    x = 593,923,000,896/515,356
  6. Step 6: Final answer
    x = 1,152,451.90

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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.