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Finding the Third Proportional to 379,152 and 569,700

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Solution

The third proportional to 379,152 and 569,700 is: 856,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,152 : 569,700 = 569,700 : x
  2. Step 2: Convert to fraction form
    379,152/569,700 = 569,700/x
  3. Step 3: Cross multiply
    379,152x = 569,700 × 569,700
  4. Step 4: Simplify right side
    379,152x = 324,558,090,000
  5. Step 5: Solve for x
    x = 324,558,090,000/379,152
  6. Step 6: Final answer
    x = 856,010.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.