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Finding the Third Proportional to 379,078.50 and 824,586

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Solution

The third proportional to 379,078.50 and 824,586 is: 1,793,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,078.50 : 824,586 = 824,586 : x
  2. Step 2: Convert to fraction form
    379,078.50/824,586 = 824,586/x
  3. Step 3: Cross multiply
    379,078.50x = 824,586 × 824,586
  4. Step 4: Simplify right side
    379,078.50x = 679,942,071,396
  5. Step 5: Solve for x
    x = 679,942,071,396/379,078.50
  6. Step 6: Final answer
    x = 1,793,670.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.