Finding the Third Proportional to 443,970 and 677,034
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Solution
The third proportional to 443,970 and 677,034 is: 1,032,445.97
Step by Step Solution
- Step 1: Write the proportion equation
443,970 : 677,034 = 677,034 : x - Step 2: Convert to fraction form
443,970/677,034 = 677,034/x - Step 3: Cross multiply
443,970x = 677,034 × 677,034 - Step 4: Simplify right side
443,970x = 458,375,037,156 - Step 5: Solve for x
x = 458,375,037,156/443,970 - Step 6: Final answer
x = 1,032,445.97
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.