Finding the Third Proportional to 283,038 and 384,597
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Solution
The third proportional to 283,038 and 384,597 is: 522,597.15
Step by Step Solution
- Step 1: Write the proportion equation
283,038 : 384,597 = 384,597 : x - Step 2: Convert to fraction form
283,038/384,597 = 384,597/x - Step 3: Cross multiply
283,038x = 384,597 × 384,597 - Step 4: Simplify right side
283,038x = 147,914,852,409 - Step 5: Solve for x
x = 147,914,852,409/283,038 - Step 6: Final answer
x = 522,597.15
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.