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Finding the Third Proportional to 298,610,946 and 463,638,219

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Solution

The third proportional to 298,610,946 and 463,638,219 is: 719,867,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,610,946 : 463,638,219 = 463,638,219 : x
  2. Step 2: Convert to fraction form
    298,610,946/463,638,219 = 463,638,219/x
  3. Step 3: Cross multiply
    298,610,946x = 463,638,219 × 463,638,219
  4. Step 4: Simplify right side
    298,610,946x = 214,960,398,117,491,968
  5. Step 5: Solve for x
    x = 214,960,398,117,491,968/298,610,946
  6. Step 6: Final answer
    x = 719,867,777.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.