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Finding the Third Proportional to 328,133 and 701,764

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Solution

The third proportional to 328,133 and 701,764 is: 1,500,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,133 : 701,764 = 701,764 : x
  2. Step 2: Convert to fraction form
    328,133/701,764 = 701,764/x
  3. Step 3: Cross multiply
    328,133x = 701,764 × 701,764
  4. Step 4: Simplify right side
    328,133x = 492,472,711,696
  5. Step 5: Solve for x
    x = 492,472,711,696/328,133
  6. Step 6: Final answer
    x = 1,500,832.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.