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Finding the Third Proportional to 303,661 and 651,508

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Solution

The third proportional to 303,661 and 651,508 is: 1,397,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,661 : 651,508 = 651,508 : x
  2. Step 2: Convert to fraction form
    303,661/651,508 = 651,508/x
  3. Step 3: Cross multiply
    303,661x = 651,508 × 651,508
  4. Step 4: Simplify right side
    303,661x = 424,462,674,064
  5. Step 5: Solve for x
    x = 424,462,674,064/303,661
  6. Step 6: Final answer
    x = 1,397,817.55

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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.