Finding the Third Proportional to 286,896 and 442,685
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Solution
The third proportional to 286,896 and 442,685 is: 683,069.86
Step by Step Solution
- Step 1: Write the proportion equation
286,896 : 442,685 = 442,685 : x - Step 2: Convert to fraction form
286,896/442,685 = 442,685/x - Step 3: Cross multiply
286,896x = 442,685 × 442,685 - Step 4: Simplify right side
286,896x = 195,970,009,225 - Step 5: Solve for x
x = 195,970,009,225/286,896 - Step 6: Final answer
x = 683,069.86
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.