Finding the Third Proportional to 204,030 and 474,300
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Solution
The third proportional to 204,030 and 474,300 is: 1,102,585.36
Step by Step Solution
- Step 1: Write the proportion equation
204,030 : 474,300 = 474,300 : x - Step 2: Convert to fraction form
204,030/474,300 = 474,300/x - Step 3: Cross multiply
204,030x = 474,300 × 474,300 - Step 4: Simplify right side
204,030x = 224,960,490,000 - Step 5: Solve for x
x = 224,960,490,000/204,030 - Step 6: Final answer
x = 1,102,585.36
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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.