Finding the Third Proportional to 428,172 and 602,428
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Solution
The third proportional to 428,172 and 602,428 is: 847,602.12
Step by Step Solution
- Step 1: Write the proportion equation
428,172 : 602,428 = 602,428 : x - Step 2: Convert to fraction form
428,172/602,428 = 602,428/x - Step 3: Cross multiply
428,172x = 602,428 × 602,428 - Step 4: Simplify right side
428,172x = 362,919,495,184 - Step 5: Solve for x
x = 362,919,495,184/428,172 - Step 6: Final answer
x = 847,602.12
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.