Finding the Third Proportional to 261,829.50 and 565,446
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Solution
The third proportional to 261,829.50 and 565,446 is: 1,221,135.05
Step by Step Solution
- Step 1: Write the proportion equation
261,829.50 : 565,446 = 565,446 : x - Step 2: Convert to fraction form
261,829.50/565,446 = 565,446/x - Step 3: Cross multiply
261,829.50x = 565,446 × 565,446 - Step 4: Simplify right side
261,829.50x = 319,729,178,916 - Step 5: Solve for x
x = 319,729,178,916/261,829.50 - Step 6: Final answer
x = 1,221,135.05
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.