Finding the Third Proportional to 288,159.75 and 462,993.75
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Solution
The third proportional to 288,159.75 and 462,993.75 is: 743,904.08
Step by Step Solution
- Step 1: Write the proportion equation
288,159.75 : 462,993.75 = 462,993.75 : x - Step 2: Convert to fraction form
288,159.75/462,993.75 = 462,993.75/x - Step 3: Cross multiply
288,159.75x = 462,993.75 × 462,993.75 - Step 4: Simplify right side
288,159.75x = 214,363,212,539.06 - Step 5: Solve for x
x = 214,363,212,539.06/288,159.75 - Step 6: Final answer
x = 743,904.08
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.