Finding the Third Proportional to 265,830 and 583,329
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Solution
The third proportional to 265,830 and 583,329 is: 1,280,038.83
Step by Step Solution
- Step 1: Write the proportion equation
265,830 : 583,329 = 583,329 : x - Step 2: Convert to fraction form
265,830/583,329 = 583,329/x - Step 3: Cross multiply
265,830x = 583,329 × 583,329 - Step 4: Simplify right side
265,830x = 340,272,722,241 - Step 5: Solve for x
x = 340,272,722,241/265,830 - Step 6: Final answer
x = 1,280,038.83
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.