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Finding the Third Proportional to 325,776 and 761,177

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Solution

The third proportional to 325,776 and 761,177 is: 1,778,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,776 : 761,177 = 761,177 : x
  2. Step 2: Convert to fraction form
    325,776/761,177 = 761,177/x
  3. Step 3: Cross multiply
    325,776x = 761,177 × 761,177
  4. Step 4: Simplify right side
    325,776x = 579,390,425,329
  5. Step 5: Solve for x
    x = 579,390,425,329/325,776
  6. Step 6: Final answer
    x = 1,778,493.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.