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Finding the Third Proportional to 277,290 and 446,429.81

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Solution

The third proportional to 277,290 and 446,429.81 is: 718,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,290 : 446,429.81 = 446,429.81 : x
  2. Step 2: Convert to fraction form
    277,290/446,429.81 = 446,429.81/x
  3. Step 3: Cross multiply
    277,290x = 446,429.81 × 446,429.81
  4. Step 4: Simplify right side
    277,290x = 199,299,577,488.79
  5. Step 5: Solve for x
    x = 199,299,577,488.79/277,290
  6. Step 6: Final answer
    x = 718,740.59

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