Finding the Third Proportional to 224,428 and 491,084
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Solution
The third proportional to 224,428 and 491,084 is: 1,074,569.55
Step by Step Solution
- Step 1: Write the proportion equation
224,428 : 491,084 = 491,084 : x - Step 2: Convert to fraction form
224,428/491,084 = 491,084/x - Step 3: Cross multiply
224,428x = 491,084 × 491,084 - Step 4: Simplify right side
224,428x = 241,163,495,056 - Step 5: Solve for x
x = 241,163,495,056/224,428 - Step 6: Final answer
x = 1,074,569.55
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.