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Finding the Third Proportional to 233,136 and 512,928

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Solution

The third proportional to 233,136 and 512,928 is: 1,128,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,136 : 512,928 = 512,928 : x
  2. Step 2: Convert to fraction form
    233,136/512,928 = 512,928/x
  3. Step 3: Cross multiply
    233,136x = 512,928 × 512,928
  4. Step 4: Simplify right side
    233,136x = 263,095,133,184
  5. Step 5: Solve for x
    x = 263,095,133,184/233,136
  6. Step 6: Final answer
    x = 1,128,504.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.