Finding the Third Proportional to 270,216 and 575,424
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Solution
The third proportional to 270,216 and 575,424 is: 1,225,363.34
Step by Step Solution
- Step 1: Write the proportion equation
270,216 : 575,424 = 575,424 : x - Step 2: Convert to fraction form
270,216/575,424 = 575,424/x - Step 3: Cross multiply
270,216x = 575,424 × 575,424 - Step 4: Simplify right side
270,216x = 331,112,779,776 - Step 5: Solve for x
x = 331,112,779,776/270,216 - Step 6: Final answer
x = 1,225,363.34
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.