Finding the Third Proportional to 299,722 and 464,058
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Solution
The third proportional to 299,722 and 464,058 is: 718,498.57
Step by Step Solution
- Step 1: Write the proportion equation
299,722 : 464,058 = 464,058 : x - Step 2: Convert to fraction form
299,722/464,058 = 464,058/x - Step 3: Cross multiply
299,722x = 464,058 × 464,058 - Step 4: Simplify right side
299,722x = 215,349,827,364 - Step 5: Solve for x
x = 215,349,827,364/299,722 - Step 6: Final answer
x = 718,498.57
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.