Finding the Third Proportional to 513,708 and 805,827
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Solution
The third proportional to 513,708 and 805,827 is: 1,264,058.87
Step by Step Solution
- Step 1: Write the proportion equation
513,708 : 805,827 = 805,827 : x - Step 2: Convert to fraction form
513,708/805,827 = 805,827/x - Step 3: Cross multiply
513,708x = 805,827 × 805,827 - Step 4: Simplify right side
513,708x = 649,357,153,929 - Step 5: Solve for x
x = 649,357,153,929/513,708 - Step 6: Final answer
x = 1,264,058.87
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.