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Finding the Third Proportional to 299,484 and 648,763

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Solution

The third proportional to 299,484 and 648,763 is: 1,405,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,484 : 648,763 = 648,763 : x
  2. Step 2: Convert to fraction form
    299,484/648,763 = 648,763/x
  3. Step 3: Cross multiply
    299,484x = 648,763 × 648,763
  4. Step 4: Simplify right side
    299,484x = 420,893,430,169
  5. Step 5: Solve for x
    x = 420,893,430,169/299,484
  6. Step 6: Final answer
    x = 1,405,395.38

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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.