Finding the Third Proportional to 288,216 and 460,430
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Solution
The third proportional to 288,216 and 460,430 is: 735,544.82
Step by Step Solution
- Step 1: Write the proportion equation
288,216 : 460,430 = 460,430 : x - Step 2: Convert to fraction form
288,216/460,430 = 460,430/x - Step 3: Cross multiply
288,216x = 460,430 × 460,430 - Step 4: Simplify right side
288,216x = 211,995,784,900 - Step 5: Solve for x
x = 211,995,784,900/288,216 - Step 6: Final answer
x = 735,544.82
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.