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Finding the Third Proportional to 328,313 and 718,906

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Solution

The third proportional to 328,313 and 718,906 is: 1,574,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,313 : 718,906 = 718,906 : x
  2. Step 2: Convert to fraction form
    328,313/718,906 = 718,906/x
  3. Step 3: Cross multiply
    328,313x = 718,906 × 718,906
  4. Step 4: Simplify right side
    328,313x = 516,825,836,836
  5. Step 5: Solve for x
    x = 516,825,836,836/328,313
  6. Step 6: Final answer
    x = 1,574,186.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.