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Finding the Third Proportional to 379,846.50 and 579,417

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Solution

The third proportional to 379,846.50 and 579,417 is: 883,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,846.50 : 579,417 = 579,417 : x
  2. Step 2: Convert to fraction form
    379,846.50/579,417 = 579,417/x
  3. Step 3: Cross multiply
    379,846.50x = 579,417 × 579,417
  4. Step 4: Simplify right side
    379,846.50x = 335,724,059,889
  5. Step 5: Solve for x
    x = 335,724,059,889/379,846.50
  6. Step 6: Final answer
    x = 883,841.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.