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Finding the Third Proportional to 525,712 and 787,683

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Solution

The third proportional to 525,712 and 787,683 is: 1,180,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,712 : 787,683 = 787,683 : x
  2. Step 2: Convert to fraction form
    525,712/787,683 = 787,683/x
  3. Step 3: Cross multiply
    525,712x = 787,683 × 787,683
  4. Step 4: Simplify right side
    525,712x = 620,444,508,489
  5. Step 5: Solve for x
    x = 620,444,508,489/525,712
  6. Step 6: Final answer
    x = 1,180,198.49

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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.