Finding the Third Proportional to 298,301,196 and 703,178,856
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Solution
The third proportional to 298,301,196 and 703,178,856 is: 1,657,588,069.23
Step by Step Solution
- Step 1: Write the proportion equation
298,301,196 : 703,178,856 = 703,178,856 : x - Step 2: Convert to fraction form
298,301,196/703,178,856 = 703,178,856/x - Step 3: Cross multiply
298,301,196x = 703,178,856 × 703,178,856 - Step 4: Simplify right side
298,301,196x = 494,460,503,525,468,736 - Step 5: Solve for x
x = 494,460,503,525,468,736/298,301,196 - Step 6: Final answer
x = 1,657,588,069.23
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.