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Finding the Third Proportional to 379,030 and 824,875

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Solution

The third proportional to 379,030 and 824,875 is: 1,795,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,030 : 824,875 = 824,875 : x
  2. Step 2: Convert to fraction form
    379,030/824,875 = 824,875/x
  3. Step 3: Cross multiply
    379,030x = 824,875 × 824,875
  4. Step 4: Simplify right side
    379,030x = 680,418,765,625
  5. Step 5: Solve for x
    x = 680,418,765,625/379,030
  6. Step 6: Final answer
    x = 1,795,158.08

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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.