Finding the Third Proportional to 258,983.50 and 566,000
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Solution
The third proportional to 258,983.50 and 566,000 is: 1,236,974.56
Step by Step Solution
- Step 1: Write the proportion equation
258,983.50 : 566,000 = 566,000 : x - Step 2: Convert to fraction form
258,983.50/566,000 = 566,000/x - Step 3: Cross multiply
258,983.50x = 566,000 × 566,000 - Step 4: Simplify right side
258,983.50x = 320,356,000,000 - Step 5: Solve for x
x = 320,356,000,000/258,983.50 - Step 6: Final answer
x = 1,236,974.56
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.