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Finding the Third Proportional to 525,297 and 769,314

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Solution

The third proportional to 525,297 and 769,314 is: 1,126,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,297 : 769,314 = 769,314 : x
  2. Step 2: Convert to fraction form
    525,297/769,314 = 769,314/x
  3. Step 3: Cross multiply
    525,297x = 769,314 × 769,314
  4. Step 4: Simplify right side
    525,297x = 591,844,030,596
  5. Step 5: Solve for x
    x = 591,844,030,596/525,297
  6. Step 6: Final answer
    x = 1,126,684.58

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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.