Finding the Third Proportional to 595,000 and 832,224
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Solution
The third proportional to 595,000 and 832,224 is: 1,164,028.21
Step by Step Solution
- Step 1: Write the proportion equation
595,000 : 832,224 = 832,224 : x - Step 2: Convert to fraction form
595,000/832,224 = 832,224/x - Step 3: Cross multiply
595,000x = 832,224 × 832,224 - Step 4: Simplify right side
595,000x = 692,596,786,176 - Step 5: Solve for x
x = 692,596,786,176/595,000 - Step 6: Final answer
x = 1,164,028.21
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.