Finding the Third Proportional to 299,553 and 652,004
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Solution
The third proportional to 299,553 and 652,004 is: 1,419,145.25
Step by Step Solution
- Step 1: Write the proportion equation
299,553 : 652,004 = 652,004 : x - Step 2: Convert to fraction form
299,553/652,004 = 652,004/x - Step 3: Cross multiply
299,553x = 652,004 × 652,004 - Step 4: Simplify right side
299,553x = 425,109,216,016 - Step 5: Solve for x
x = 425,109,216,016/299,553 - Step 6: Final answer
x = 1,419,145.25
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.