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Finding the Third Proportional to 301,368 and 633,768

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Solution

The third proportional to 301,368 and 633,768 is: 1,332,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,368 : 633,768 = 633,768 : x
  2. Step 2: Convert to fraction form
    301,368/633,768 = 633,768/x
  3. Step 3: Cross multiply
    301,368x = 633,768 × 633,768
  4. Step 4: Simplify right side
    301,368x = 401,661,877,824
  5. Step 5: Solve for x
    x = 401,661,877,824/301,368
  6. Step 6: Final answer
    x = 1,332,795.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.