Finding the Third Proportional to 282,753 and 598,230
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Solution
The third proportional to 282,753 and 598,230 is: 1,265,695.26
Step by Step Solution
- Step 1: Write the proportion equation
282,753 : 598,230 = 598,230 : x - Step 2: Convert to fraction form
282,753/598,230 = 598,230/x - Step 3: Cross multiply
282,753x = 598,230 × 598,230 - Step 4: Simplify right side
282,753x = 357,879,132,900 - Step 5: Solve for x
x = 357,879,132,900/282,753 - Step 6: Final answer
x = 1,265,695.26
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.