Finding the Third Proportional to 283,951 and 423,465
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Solution
The third proportional to 283,951 and 423,465 is: 631,526.59
Step by Step Solution
- Step 1: Write the proportion equation
283,951 : 423,465 = 423,465 : x - Step 2: Convert to fraction form
283,951/423,465 = 423,465/x - Step 3: Cross multiply
283,951x = 423,465 × 423,465 - Step 4: Simplify right side
283,951x = 179,322,606,225 - Step 5: Solve for x
x = 179,322,606,225/283,951 - Step 6: Final answer
x = 631,526.59
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.