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Finding the Third Proportional to 183,716 and 432,021

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Solution

The third proportional to 183,716 and 432,021 is: 1,015,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,716 : 432,021 = 432,021 : x
  2. Step 2: Convert to fraction form
    183,716/432,021 = 432,021/x
  3. Step 3: Cross multiply
    183,716x = 432,021 × 432,021
  4. Step 4: Simplify right side
    183,716x = 186,642,144,441
  5. Step 5: Solve for x
    x = 186,642,144,441/183,716
  6. Step 6: Final answer
    x = 1,015,927.54

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.