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Finding the Third Proportional to 280,436 and 435,058

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Solution

The third proportional to 280,436 and 435,058 is: 674,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,436 : 435,058 = 435,058 : x
  2. Step 2: Convert to fraction form
    280,436/435,058 = 435,058/x
  3. Step 3: Cross multiply
    280,436x = 435,058 × 435,058
  4. Step 4: Simplify right side
    280,436x = 189,275,463,364
  5. Step 5: Solve for x
    x = 189,275,463,364/280,436
  6. Step 6: Final answer
    x = 674,932.83

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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.