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Finding the Third Proportional to 183,417 and 432,286

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Solution

The third proportional to 183,417 and 432,286 is: 1,018,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,417 : 432,286 = 432,286 : x
  2. Step 2: Convert to fraction form
    183,417/432,286 = 432,286/x
  3. Step 3: Cross multiply
    183,417x = 432,286 × 432,286
  4. Step 4: Simplify right side
    183,417x = 186,871,185,796
  5. Step 5: Solve for x
    x = 186,871,185,796/183,417
  6. Step 6: Final answer
    x = 1,018,832.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.