Finding the Third Proportional to 399,456 and 857,664
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Solution
The third proportional to 399,456 and 857,664 is: 1,841,473.25
Step by Step Solution
- Step 1: Write the proportion equation
399,456 : 857,664 = 857,664 : x - Step 2: Convert to fraction form
399,456/857,664 = 857,664/x - Step 3: Cross multiply
399,456x = 857,664 × 857,664 - Step 4: Simplify right side
399,456x = 735,587,536,896 - Step 5: Solve for x
x = 735,587,536,896/399,456 - Step 6: Final answer
x = 1,841,473.25
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.