Finding the Third Proportional to 304,948,784 and 471,196,430
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Solution
The third proportional to 304,948,784 and 471,196,430 is: 728,076,605.95
Step by Step Solution
- Step 1: Write the proportion equation
304,948,784 : 471,196,430 = 471,196,430 : x - Step 2: Convert to fraction form
304,948,784/471,196,430 = 471,196,430/x - Step 3: Cross multiply
304,948,784x = 471,196,430 × 471,196,430 - Step 4: Simplify right side
304,948,784x = 222,026,075,644,744,896 - Step 5: Solve for x
x = 222,026,075,644,744,896/304,948,784 - Step 6: Final answer
x = 728,076,605.95
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.