Finding the Third Proportional to 257,769 and 565,970
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Solution
The third proportional to 257,769 and 565,970 is: 1,242,670.92
Step by Step Solution
- Step 1: Write the proportion equation
257,769 : 565,970 = 565,970 : x - Step 2: Convert to fraction form
257,769/565,970 = 565,970/x - Step 3: Cross multiply
257,769x = 565,970 × 565,970 - Step 4: Simplify right side
257,769x = 320,322,040,900 - Step 5: Solve for x
x = 320,322,040,900/257,769 - Step 6: Final answer
x = 1,242,670.92
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.