Finding the Third Proportional to 306,264,410 and 470,750,336
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Solution
The third proportional to 306,264,410 and 470,750,336 is: 723,576,986.45
Step by Step Solution
- Step 1: Write the proportion equation
306,264,410 : 470,750,336 = 470,750,336 : x - Step 2: Convert to fraction form
306,264,410/470,750,336 = 470,750,336/x - Step 3: Cross multiply
306,264,410x = 470,750,336 × 470,750,336 - Step 4: Simplify right side
306,264,410x = 221,605,878,844,112,896 - Step 5: Solve for x
x = 221,605,878,844,112,896/306,264,410 - Step 6: Final answer
x = 723,576,986.45
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.