Finding the Third Proportional to 406,098 and 595,291
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Solution
The third proportional to 406,098 and 595,291 is: 872,625.26
Step by Step Solution
- Step 1: Write the proportion equation
406,098 : 595,291 = 595,291 : x - Step 2: Convert to fraction form
406,098/595,291 = 595,291/x - Step 3: Cross multiply
406,098x = 595,291 × 595,291 - Step 4: Simplify right side
406,098x = 354,371,374,681 - Step 5: Solve for x
x = 354,371,374,681/406,098 - Step 6: Final answer
x = 872,625.26
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.