Finding the Third Proportional to 231,856 and 488,618
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Solution
The third proportional to 231,856 and 488,618 is: 1,029,723.41
Step by Step Solution
- Step 1: Write the proportion equation
231,856 : 488,618 = 488,618 : x - Step 2: Convert to fraction form
231,856/488,618 = 488,618/x - Step 3: Cross multiply
231,856x = 488,618 × 488,618 - Step 4: Simplify right side
231,856x = 238,747,549,924 - Step 5: Solve for x
x = 238,747,549,924/231,856 - Step 6: Final answer
x = 1,029,723.41
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.