Finding the Third Proportional to 221,492 and 474,454
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Solution
The third proportional to 221,492 and 474,454 is: 1,016,319.32
Step by Step Solution
- Step 1: Write the proportion equation
221,492 : 474,454 = 474,454 : x - Step 2: Convert to fraction form
221,492/474,454 = 474,454/x - Step 3: Cross multiply
221,492x = 474,454 × 474,454 - Step 4: Simplify right side
221,492x = 225,106,598,116 - Step 5: Solve for x
x = 225,106,598,116/221,492 - Step 6: Final answer
x = 1,016,319.32
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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.