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Finding the Third Proportional to 302,412 and 651,048

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Solution

The third proportional to 302,412 and 651,048 is: 1,401,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,412 : 651,048 = 651,048 : x
  2. Step 2: Convert to fraction form
    302,412/651,048 = 651,048/x
  3. Step 3: Cross multiply
    302,412x = 651,048 × 651,048
  4. Step 4: Simplify right side
    302,412x = 423,863,498,304
  5. Step 5: Solve for x
    x = 423,863,498,304/302,412
  6. Step 6: Final answer
    x = 1,401,609.39

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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.