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Finding the Third Proportional to 366,058 and 802,100

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Solution

The third proportional to 366,058 and 802,100 is: 1,757,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,058 : 802,100 = 802,100 : x
  2. Step 2: Convert to fraction form
    366,058/802,100 = 802,100/x
  3. Step 3: Cross multiply
    366,058x = 802,100 × 802,100
  4. Step 4: Simplify right side
    366,058x = 643,364,410,000
  5. Step 5: Solve for x
    x = 643,364,410,000/366,058
  6. Step 6: Final answer
    x = 1,757,547.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.