Finding the Third Proportional to 290,927 and 462,648
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Solution
The third proportional to 290,927 and 462,648 is: 735,728.11
Step by Step Solution
- Step 1: Write the proportion equation
290,927 : 462,648 = 462,648 : x - Step 2: Convert to fraction form
290,927/462,648 = 462,648/x - Step 3: Cross multiply
290,927x = 462,648 × 462,648 - Step 4: Simplify right side
290,927x = 214,043,171,904 - Step 5: Solve for x
x = 214,043,171,904/290,927 - Step 6: Final answer
x = 735,728.11
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.