Finding the Third Proportional to 270,768,448 and 412,501,344
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Solution
The third proportional to 270,768,448 and 412,501,344 is: 628,423,880.47
Step by Step Solution
- Step 1: Write the proportion equation
270,768,448 : 412,501,344 = 412,501,344 : x - Step 2: Convert to fraction form
270,768,448/412,501,344 = 412,501,344/x - Step 3: Cross multiply
270,768,448x = 412,501,344 × 412,501,344 - Step 4: Simplify right side
270,768,448x = 170,157,358,801,806,336 - Step 5: Solve for x
x = 170,157,358,801,806,336/270,768,448 - Step 6: Final answer
x = 628,423,880.47
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.