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Finding the Third Proportional to 302,001 and 651,289

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Solution

The third proportional to 302,001 and 651,289 is: 1,404,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,001 : 651,289 = 651,289 : x
  2. Step 2: Convert to fraction form
    302,001/651,289 = 651,289/x
  3. Step 3: Cross multiply
    302,001x = 651,289 × 651,289
  4. Step 4: Simplify right side
    302,001x = 424,177,361,521
  5. Step 5: Solve for x
    x = 424,177,361,521/302,001
  6. Step 6: Final answer
    x = 1,404,556.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.