Finding the Third Proportional to 288,724 and 609,044
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Solution
The third proportional to 288,724 and 609,044 is: 1,284,737.65
Step by Step Solution
- Step 1: Write the proportion equation
288,724 : 609,044 = 609,044 : x - Step 2: Convert to fraction form
288,724/609,044 = 609,044/x - Step 3: Cross multiply
288,724x = 609,044 × 609,044 - Step 4: Simplify right side
288,724x = 370,934,593,936 - Step 5: Solve for x
x = 370,934,593,936/288,724 - Step 6: Final answer
x = 1,284,737.65
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.