Finding the Third Proportional to 286,810 and 443,871
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Solution
The third proportional to 286,810 and 443,871 is: 686,940.71
Step by Step Solution
- Step 1: Write the proportion equation
286,810 : 443,871 = 443,871 : x - Step 2: Convert to fraction form
286,810/443,871 = 443,871/x - Step 3: Cross multiply
286,810x = 443,871 × 443,871 - Step 4: Simplify right side
286,810x = 197,021,464,641 - Step 5: Solve for x
x = 197,021,464,641/286,810 - Step 6: Final answer
x = 686,940.71
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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.