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Finding the Third Proportional to 366,217 and 802,254

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Solution

The third proportional to 366,217 and 802,254 is: 1,757,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,217 : 802,254 = 802,254 : x
  2. Step 2: Convert to fraction form
    366,217/802,254 = 802,254/x
  3. Step 3: Cross multiply
    366,217x = 802,254 × 802,254
  4. Step 4: Simplify right side
    366,217x = 643,611,480,516
  5. Step 5: Solve for x
    x = 643,611,480,516/366,217
  6. Step 6: Final answer
    x = 1,757,459.32

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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.