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Finding the Third Proportional to 326,477 and 692,154

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Solution

The third proportional to 326,477 and 692,154 is: 1,467,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,477 : 692,154 = 692,154 : x
  2. Step 2: Convert to fraction form
    326,477/692,154 = 692,154/x
  3. Step 3: Cross multiply
    326,477x = 692,154 × 692,154
  4. Step 4: Simplify right side
    326,477x = 479,077,159,716
  5. Step 5: Solve for x
    x = 479,077,159,716/326,477
  6. Step 6: Final answer
    x = 1,467,414.73

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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.