Finding the Third Proportional to 264,320 and 565,504
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Solution
The third proportional to 264,320 and 565,504 is: 1,209,877.32
Step by Step Solution
- Step 1: Write the proportion equation
264,320 : 565,504 = 565,504 : x - Step 2: Convert to fraction form
264,320/565,504 = 565,504/x - Step 3: Cross multiply
264,320x = 565,504 × 565,504 - Step 4: Simplify right side
264,320x = 319,794,774,016 - Step 5: Solve for x
x = 319,794,774,016/264,320 - Step 6: Final answer
x = 1,209,877.32
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.