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Finding the Third Proportional to 651,324 and 929,682

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Solution

The third proportional to 651,324 and 929,682 is: 1,327,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,324 : 929,682 = 929,682 : x
  2. Step 2: Convert to fraction form
    651,324/929,682 = 929,682/x
  3. Step 3: Cross multiply
    651,324x = 929,682 × 929,682
  4. Step 4: Simplify right side
    651,324x = 864,308,621,124
  5. Step 5: Solve for x
    x = 864,308,621,124/651,324
  6. Step 6: Final answer
    x = 1,327,002.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.