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Finding the Third Proportional to 282,379,573 and 412,732,501

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Solution

The third proportional to 282,379,573 and 412,732,501 is: 603,259,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,379,573 : 412,732,501 = 412,732,501 : x
  2. Step 2: Convert to fraction form
    282,379,573/412,732,501 = 412,732,501/x
  3. Step 3: Cross multiply
    282,379,573x = 412,732,501 × 412,732,501
  4. Step 4: Simplify right side
    282,379,573x = 170,348,117,381,715,008
  5. Step 5: Solve for x
    x = 170,348,117,381,715,008/282,379,573
  6. Step 6: Final answer
    x = 603,259,349.01

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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.