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Finding the Third Proportional to 277,033 and 429,806

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Solution

The third proportional to 277,033 and 429,806 is: 666,827.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,033 : 429,806 = 429,806 : x
  2. Step 2: Convert to fraction form
    277,033/429,806 = 429,806/x
  3. Step 3: Cross multiply
    277,033x = 429,806 × 429,806
  4. Step 4: Simplify right side
    277,033x = 184,733,197,636
  5. Step 5: Solve for x
    x = 184,733,197,636/277,033
  6. Step 6: Final answer
    x = 666,827.41

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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.