Finding the Third Proportional to 199,827 and 428,076
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Solution
The third proportional to 199,827 and 428,076 is: 917,038.55
Step by Step Solution
- Step 1: Write the proportion equation
199,827 : 428,076 = 428,076 : x - Step 2: Convert to fraction form
199,827/428,076 = 428,076/x - Step 3: Cross multiply
199,827x = 428,076 × 428,076 - Step 4: Simplify right side
199,827x = 183,249,061,776 - Step 5: Solve for x
x = 183,249,061,776/199,827 - Step 6: Final answer
x = 917,038.55
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.