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Finding the Third Proportional to 302,560 and 651,801

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Solution

The third proportional to 302,560 and 651,801 is: 1,404,166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,560 : 651,801 = 651,801 : x
  2. Step 2: Convert to fraction form
    302,560/651,801 = 651,801/x
  3. Step 3: Cross multiply
    302,560x = 651,801 × 651,801
  4. Step 4: Simplify right side
    302,560x = 424,844,543,601
  5. Step 5: Solve for x
    x = 424,844,543,601/302,560
  6. Step 6: Final answer
    x = 1,404,166.26

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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.