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Finding the Third Proportional to 246,822,324 and 512,776,395

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Solution

The third proportional to 246,822,324 and 512,776,395 is: 1,065,299,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,822,324 : 512,776,395 = 512,776,395 : x
  2. Step 2: Convert to fraction form
    246,822,324/512,776,395 = 512,776,395/x
  3. Step 3: Cross multiply
    246,822,324x = 512,776,395 × 512,776,395
  4. Step 4: Simplify right side
    246,822,324x = 262,939,631,269,196,032
  5. Step 5: Solve for x
    x = 262,939,631,269,196,032/246,822,324
  6. Step 6: Final answer
    x = 1,065,299,228.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.