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Finding the Third Proportional to 302,608 and 651,888

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Solution

The third proportional to 302,608 and 651,888 is: 1,404,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,608 : 651,888 = 651,888 : x
  2. Step 2: Convert to fraction form
    302,608/651,888 = 651,888/x
  3. Step 3: Cross multiply
    302,608x = 651,888 × 651,888
  4. Step 4: Simplify right side
    302,608x = 424,957,964,544
  5. Step 5: Solve for x
    x = 424,957,964,544/302,608
  6. Step 6: Final answer
    x = 1,404,318.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.