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Finding the Third Proportional to 326,424 and 692,052

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Solution

The third proportional to 326,424 and 692,052 is: 1,467,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,424 : 692,052 = 692,052 : x
  2. Step 2: Convert to fraction form
    326,424/692,052 = 692,052/x
  3. Step 3: Cross multiply
    326,424x = 692,052 × 692,052
  4. Step 4: Simplify right side
    326,424x = 478,935,970,704
  5. Step 5: Solve for x
    x = 478,935,970,704/326,424
  6. Step 6: Final answer
    x = 1,467,220.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.