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Finding the Third Proportional to 328,415.70 and 494,972.58

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Solution

The third proportional to 328,415.70 and 494,972.58 is: 745,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,415.70 : 494,972.58 = 494,972.58 : x
  2. Step 2: Convert to fraction form
    328,415.70/494,972.58 = 494,972.58/x
  3. Step 3: Cross multiply
    328,415.70x = 494,972.58 × 494,972.58
  4. Step 4: Simplify right side
    328,415.70x = 244,997,853,095.71
  5. Step 5: Solve for x
    x = 244,997,853,095.71/328,415.70
  6. Step 6: Final answer
    x = 745,999.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.