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Finding the Third Proportional to 326,476 and 692,152

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Solution

The third proportional to 326,476 and 692,152 is: 1,467,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,476 : 692,152 = 692,152 : x
  2. Step 2: Convert to fraction form
    326,476/692,152 = 692,152/x
  3. Step 3: Cross multiply
    326,476x = 692,152 × 692,152
  4. Step 4: Simplify right side
    326,476x = 479,074,391,104
  5. Step 5: Solve for x
    x = 479,074,391,104/326,476
  6. Step 6: Final answer
    x = 1,467,410.75

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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.