Finding the Third Proportional to 409,817 and 632,901.50
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Solution
The third proportional to 409,817 and 632,901.50 is: 977,422.38
Step by Step Solution
- Step 1: Write the proportion equation
409,817 : 632,901.50 = 632,901.50 : x - Step 2: Convert to fraction form
409,817/632,901.50 = 632,901.50/x - Step 3: Cross multiply
409,817x = 632,901.50 × 632,901.50 - Step 4: Simplify right side
409,817x = 400,564,308,702.25 - Step 5: Solve for x
x = 400,564,308,702.25/409,817 - Step 6: Final answer
x = 977,422.38
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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.