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Finding the Third Proportional to 370,014 and 802,236

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Solution

The third proportional to 370,014 and 802,236 is: 1,739,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,014 : 802,236 = 802,236 : x
  2. Step 2: Convert to fraction form
    370,014/802,236 = 802,236/x
  3. Step 3: Cross multiply
    370,014x = 802,236 × 802,236
  4. Step 4: Simplify right side
    370,014x = 643,582,599,696
  5. Step 5: Solve for x
    x = 643,582,599,696/370,014
  6. Step 6: Final answer
    x = 1,739,346.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.