Finding the Third Proportional to 256,249,029 and 382,694,364
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Solution
The third proportional to 256,249,029 and 382,694,364 is: 571,533,780.28
Step by Step Solution
- Step 1: Write the proportion equation
256,249,029 : 382,694,364 = 382,694,364 : x - Step 2: Convert to fraction form
256,249,029/382,694,364 = 382,694,364/x - Step 3: Cross multiply
256,249,029x = 382,694,364 × 382,694,364 - Step 4: Simplify right side
256,249,029x = 146,454,976,237,364,480 - Step 5: Solve for x
x = 146,454,976,237,364,480/256,249,029 - Step 6: Final answer
x = 571,533,780.28
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.