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Finding the Third Proportional to 525,738 and 787,729

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Solution

The third proportional to 525,738 and 787,729 is: 1,180,277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,738 : 787,729 = 787,729 : x
  2. Step 2: Convert to fraction form
    525,738/787,729 = 787,729/x
  3. Step 3: Cross multiply
    525,738x = 787,729 × 787,729
  4. Step 4: Simplify right side
    525,738x = 620,516,977,441
  5. Step 5: Solve for x
    x = 620,516,977,441/525,738
  6. Step 6: Final answer
    x = 1,180,277.97

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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.