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Finding the Third Proportional to 296,371 and 648,956

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Solution

The third proportional to 296,371 and 648,956 is: 1,421,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,371 : 648,956 = 648,956 : x
  2. Step 2: Convert to fraction form
    296,371/648,956 = 648,956/x
  3. Step 3: Cross multiply
    296,371x = 648,956 × 648,956
  4. Step 4: Simplify right side
    296,371x = 421,143,889,936
  5. Step 5: Solve for x
    x = 421,143,889,936/296,371
  6. Step 6: Final answer
    x = 1,421,002.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.