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Finding the Third Proportional to 367,416 and 802,224

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Solution

The third proportional to 367,416 and 802,224 is: 1,751,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,416 : 802,224 = 802,224 : x
  2. Step 2: Convert to fraction form
    367,416/802,224 = 802,224/x
  3. Step 3: Cross multiply
    367,416x = 802,224 × 802,224
  4. Step 4: Simplify right side
    367,416x = 643,563,346,176
  5. Step 5: Solve for x
    x = 643,563,346,176/367,416
  6. Step 6: Final answer
    x = 1,751,593.14

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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.