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Finding the Third Proportional to 296,136 and 644,832

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Solution

The third proportional to 296,136 and 644,832 is: 1,404,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,136 : 644,832 = 644,832 : x
  2. Step 2: Convert to fraction form
    296,136/644,832 = 644,832/x
  3. Step 3: Cross multiply
    296,136x = 644,832 × 644,832
  4. Step 4: Simplify right side
    296,136x = 415,808,308,224
  5. Step 5: Solve for x
    x = 415,808,308,224/296,136
  6. Step 6: Final answer
    x = 1,404,112.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.