Finding the Third Proportional to 288,864 and 446,408
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Solution
The third proportional to 288,864 and 446,408 is: 689,875.17
Step by Step Solution
- Step 1: Write the proportion equation
288,864 : 446,408 = 446,408 : x - Step 2: Convert to fraction form
288,864/446,408 = 446,408/x - Step 3: Cross multiply
288,864x = 446,408 × 446,408 - Step 4: Simplify right side
288,864x = 199,280,102,464 - Step 5: Solve for x
x = 199,280,102,464/288,864 - Step 6: Final answer
x = 689,875.17
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.