Finding the Third Proportional to 380,378 and 803,202
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Solution
The third proportional to 380,378 and 803,202 is: 1,696,032.51
Step by Step Solution
- Step 1: Write the proportion equation
380,378 : 803,202 = 803,202 : x - Step 2: Convert to fraction form
380,378/803,202 = 803,202/x - Step 3: Cross multiply
380,378x = 803,202 × 803,202 - Step 4: Simplify right side
380,378x = 645,133,452,804 - Step 5: Solve for x
x = 645,133,452,804/380,378 - Step 6: Final answer
x = 1,696,032.51
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.