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Finding the Third Proportional to 282,379,576.50 and 412,732,506.75

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Solution

The third proportional to 282,379,576.50 and 412,732,506.75 is: 603,259,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,379,576.50 : 412,732,506.75 = 412,732,506.75 : x
  2. Step 2: Convert to fraction form
    282,379,576.50/412,732,506.75 = 412,732,506.75/x
  3. Step 3: Cross multiply
    282,379,576.50x = 412,732,506.75 × 412,732,506.75
  4. Step 4: Simplify right side
    282,379,576.50x = 170,348,122,128,138,784
  5. Step 5: Solve for x
    x = 170,348,122,128,138,784/282,379,576.50
  6. Step 6: Final answer
    x = 603,259,358.34

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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.