Finding the Third Proportional to 230,644 and 495,784
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Solution
The third proportional to 230,644 and 495,784 is: 1,065,719.35
Step by Step Solution
- Step 1: Write the proportion equation
230,644 : 495,784 = 495,784 : x - Step 2: Convert to fraction form
230,644/495,784 = 495,784/x - Step 3: Cross multiply
230,644x = 495,784 × 495,784 - Step 4: Simplify right side
230,644x = 245,801,774,656 - Step 5: Solve for x
x = 245,801,774,656/230,644 - Step 6: Final answer
x = 1,065,719.35
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.