Finding the Third Proportional to 297 and 699.75
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Solution
The third proportional to 297 and 699.75 is: 1,648.65
Step by Step Solution
- Step 1: Write the proportion equation
297 : 699.75 = 699.75 : x - Step 2: Convert to fraction form
297/699.75 = 699.75/x - Step 3: Cross multiply
297x = 699.75 × 699.75 - Step 4: Simplify right side
297x = 489,650.06 - Step 5: Solve for x
x = 489,650.06/297 - Step 6: Final answer
x = 1,648.65
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.