Finding the Third Proportional to 298,263,326,320 and 654,271,968,644
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Solution
The third proportional to 298,263,326,320 and 654,271,968,644 is: 1,435,214,359,857.39
Step by Step Solution
- Step 1: Write the proportion equation
298,263,326,320 : 654,271,968,644 = 654,271,968,644 : x - Step 2: Convert to fraction form
298,263,326,320/654,271,968,644 = 654,271,968,644/x - Step 3: Cross multiply
298,263,326,320x = 654,271,968,644 × 654,271,968,644 - Step 4: Simplify right side
298,263,326,320x = 428,071,808,953,295,325,626,368 - Step 5: Solve for x
x = 428,071,808,953,295,325,626,368/298,263,326,320 - Step 6: Final answer
x = 1,435,214,359,857.39
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.