Finding the Third Proportional to 297,378,973 and 644,173,129
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Solution
The third proportional to 297,378,973 and 644,173,129 is: 1,395,387,898.28
Step by Step Solution
- Step 1: Write the proportion equation
297,378,973 : 644,173,129 = 644,173,129 : x - Step 2: Convert to fraction form
297,378,973/644,173,129 = 644,173,129/x - Step 3: Cross multiply
297,378,973x = 644,173,129 × 644,173,129 - Step 4: Simplify right side
297,378,973x = 414,959,020,125,650,624 - Step 5: Solve for x
x = 414,959,020,125,650,624/297,378,973 - Step 6: Final answer
x = 1,395,387,898.28
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.