Finding the Third Proportional to 493,810 and 721,898
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Solution
The third proportional to 493,810 and 721,898 is: 1,055,338.54
Step by Step Solution
- Step 1: Write the proportion equation
493,810 : 721,898 = 721,898 : x - Step 2: Convert to fraction form
493,810/721,898 = 721,898/x - Step 3: Cross multiply
493,810x = 721,898 × 721,898 - Step 4: Simplify right side
493,810x = 521,136,722,404 - Step 5: Solve for x
x = 521,136,722,404/493,810 - Step 6: Final answer
x = 1,055,338.54
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.