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Finding the Third Proportional to 300,080 and 651,682

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Solution

The third proportional to 300,080 and 651,682 is: 1,415,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,080 : 651,682 = 651,682 : x
  2. Step 2: Convert to fraction form
    300,080/651,682 = 651,682/x
  3. Step 3: Cross multiply
    300,080x = 651,682 × 651,682
  4. Step 4: Simplify right side
    300,080x = 424,689,429,124
  5. Step 5: Solve for x
    x = 424,689,429,124/300,080
  6. Step 6: Final answer
    x = 1,415,254.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.