Finding the Third Proportional to 429,198 and 679,464
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Solution
The third proportional to 429,198 and 679,464 is: 1,075,660.48
Step by Step Solution
- Step 1: Write the proportion equation
429,198 : 679,464 = 679,464 : x - Step 2: Convert to fraction form
429,198/679,464 = 679,464/x - Step 3: Cross multiply
429,198x = 679,464 × 679,464 - Step 4: Simplify right side
429,198x = 461,671,327,296 - Step 5: Solve for x
x = 461,671,327,296/429,198 - Step 6: Final answer
x = 1,075,660.48
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.