Finding the Third Proportional to 289,346 and 442,358
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Solution
The third proportional to 289,346 and 442,358 is: 676,285.83
Step by Step Solution
- Step 1: Write the proportion equation
289,346 : 442,358 = 442,358 : x - Step 2: Convert to fraction form
289,346/442,358 = 442,358/x - Step 3: Cross multiply
289,346x = 442,358 × 442,358 - Step 4: Simplify right side
289,346x = 195,680,600,164 - Step 5: Solve for x
x = 195,680,600,164/289,346 - Step 6: Final answer
x = 676,285.83
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.