Finding the Third Proportional to 291,630 and 456,492
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Solution
The third proportional to 291,630 and 456,492 is: 714,552.50
Step by Step Solution
- Step 1: Write the proportion equation
291,630 : 456,492 = 456,492 : x - Step 2: Convert to fraction form
291,630/456,492 = 456,492/x - Step 3: Cross multiply
291,630x = 456,492 × 456,492 - Step 4: Simplify right side
291,630x = 208,384,946,064 - Step 5: Solve for x
x = 208,384,946,064/291,630 - Step 6: Final answer
x = 714,552.50
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.