Finding the Third Proportional to 505,668,513,498 and 730,603,678,684
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Solution
The third proportional to 505,668,513,498 and 730,603,678,684 is: 1,055,596,148,579.86
Step by Step Solution
- Step 1: Write the proportion equation
505,668,513,498 : 730,603,678,684 = 730,603,678,684 : x - Step 2: Convert to fraction form
505,668,513,498/730,603,678,684 = 730,603,678,684/x - Step 3: Cross multiply
505,668,513,498x = 730,603,678,684 × 730,603,678,684 - Step 4: Simplify right side
505,668,513,498x = 533,781,735,306,593,537,359,872 - Step 5: Solve for x
x = 533,781,735,306,593,537,359,872/505,668,513,498 - Step 6: Final answer
x = 1,055,596,148,579.86
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.