Finding the Third Proportional to 302,816 and 464,828
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Solution
The third proportional to 302,816 and 464,828 is: 713,519.33
Step by Step Solution
- Step 1: Write the proportion equation
302,816 : 464,828 = 464,828 : x - Step 2: Convert to fraction form
302,816/464,828 = 464,828/x - Step 3: Cross multiply
302,816x = 464,828 × 464,828 - Step 4: Simplify right side
302,816x = 216,065,069,584 - Step 5: Solve for x
x = 216,065,069,584/302,816 - Step 6: Final answer
x = 713,519.33
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.