Finding the Third Proportional to 413,547.19 and 632,486.81
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Solution
The third proportional to 413,547.19 and 632,486.81 is: 967,337.17
Step by Step Solution
- Step 1: Write the proportion equation
413,547.19 : 632,486.81 = 632,486.81 : x - Step 2: Convert to fraction form
413,547.19/632,486.81 = 632,486.81/x - Step 3: Cross multiply
413,547.19x = 632,486.81 × 632,486.81 - Step 4: Simplify right side
413,547.19x = 400,039,567,986.41 - Step 5: Solve for x
x = 400,039,567,986.41/413,547.19 - Step 6: Final answer
x = 967,337.17
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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.