Finding the Third Proportional to 306,263,384 and 470,748,776
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Solution
The third proportional to 306,263,384 and 470,748,776 is: 723,574,614.80
Step by Step Solution
- Step 1: Write the proportion equation
306,263,384 : 470,748,776 = 470,748,776 : x - Step 2: Convert to fraction form
306,263,384/470,748,776 = 470,748,776/x - Step 3: Cross multiply
306,263,384x = 470,748,776 × 470,748,776 - Step 4: Simplify right side
306,263,384x = 221,604,410,105,498,176 - Step 5: Solve for x
x = 221,604,410,105,498,176/306,263,384 - Step 6: Final answer
x = 723,574,614.80
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.