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Finding the Third Proportional to 326,511 and 692,145

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Solution

The third proportional to 326,511 and 692,145 is: 1,467,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,511 : 692,145 = 692,145 : x
  2. Step 2: Convert to fraction form
    326,511/692,145 = 692,145/x
  3. Step 3: Cross multiply
    326,511x = 692,145 × 692,145
  4. Step 4: Simplify right side
    326,511x = 479,064,701,025
  5. Step 5: Solve for x
    x = 479,064,701,025/326,511
  6. Step 6: Final answer
    x = 1,467,223.77

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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.