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Finding the Third Proportional to 326,716 and 490,053

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Solution

The third proportional to 326,716 and 490,053 is: 735,048.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,716 : 490,053 = 490,053 : x
  2. Step 2: Convert to fraction form
    326,716/490,053 = 490,053/x
  3. Step 3: Cross multiply
    326,716x = 490,053 × 490,053
  4. Step 4: Simplify right side
    326,716x = 240,151,942,809
  5. Step 5: Solve for x
    x = 240,151,942,809/326,716
  6. Step 6: Final answer
    x = 735,048.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.