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Finding the Third Proportional to 525,968 and 770,392

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Solution

The third proportional to 525,968 and 770,392 is: 1,128,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,968 : 770,392 = 770,392 : x
  2. Step 2: Convert to fraction form
    525,968/770,392 = 770,392/x
  3. Step 3: Cross multiply
    525,968x = 770,392 × 770,392
  4. Step 4: Simplify right side
    525,968x = 593,503,833,664
  5. Step 5: Solve for x
    x = 593,503,833,664/525,968
  6. Step 6: Final answer
    x = 1,128,402.93

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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.