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Finding the Third Proportional to 282,379,576 and 412,732,506

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Solution

The third proportional to 282,379,576 and 412,732,506 is: 603,259,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,379,576 : 412,732,506 = 412,732,506 : x
  2. Step 2: Convert to fraction form
    282,379,576/412,732,506 = 412,732,506/x
  3. Step 3: Cross multiply
    282,379,576x = 412,732,506 × 412,732,506
  4. Step 4: Simplify right side
    282,379,576x = 170,348,121,509,040,032
  5. Step 5: Solve for x
    x = 170,348,121,509,040,032/282,379,576
  6. Step 6: Final answer
    x = 603,259,357.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.