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Finding the Third Proportional to 280,434 and 435,054

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Solution

The third proportional to 280,434 and 435,054 is: 674,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,434 : 435,054 = 435,054 : x
  2. Step 2: Convert to fraction form
    280,434/435,054 = 435,054/x
  3. Step 3: Cross multiply
    280,434x = 435,054 × 435,054
  4. Step 4: Simplify right side
    280,434x = 189,271,982,916
  5. Step 5: Solve for x
    x = 189,271,982,916/280,434
  6. Step 6: Final answer
    x = 674,925.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.