Finding the Third Proportional to 221,084 and 473,712
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Solution
The third proportional to 221,084 and 473,712 is: 1,015,012.66
Step by Step Solution
- Step 1: Write the proportion equation
221,084 : 473,712 = 473,712 : x - Step 2: Convert to fraction form
221,084/473,712 = 473,712/x - Step 3: Cross multiply
221,084x = 473,712 × 473,712 - Step 4: Simplify right side
221,084x = 224,403,058,944 - Step 5: Solve for x
x = 224,403,058,944/221,084 - Step 6: Final answer
x = 1,015,012.66
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.