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Finding the Third Proportional to 277,158 and 446,335

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Solution

The third proportional to 277,158 and 446,335 is: 718,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,158 : 446,335 = 446,335 : x
  2. Step 2: Convert to fraction form
    277,158/446,335 = 446,335/x
  3. Step 3: Cross multiply
    277,158x = 446,335 × 446,335
  4. Step 4: Simplify right side
    277,158x = 199,214,932,225
  5. Step 5: Solve for x
    x = 199,214,932,225/277,158
  6. Step 6: Final answer
    x = 718,777.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.