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Finding the Third Proportional to 277,818 and 414,897

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Solution

The third proportional to 277,818 and 414,897 is: 619,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,818 : 414,897 = 414,897 : x
  2. Step 2: Convert to fraction form
    277,818/414,897 = 414,897/x
  3. Step 3: Cross multiply
    277,818x = 414,897 × 414,897
  4. Step 4: Simplify right side
    277,818x = 172,139,520,609
  5. Step 5: Solve for x
    x = 172,139,520,609/277,818
  6. Step 6: Final answer
    x = 619,612.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.