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Finding the Third Proportional to 304,130 and 477,081

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Solution

The third proportional to 304,130 and 477,081 is: 748,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,130 : 477,081 = 477,081 : x
  2. Step 2: Convert to fraction form
    304,130/477,081 = 477,081/x
  3. Step 3: Cross multiply
    304,130x = 477,081 × 477,081
  4. Step 4: Simplify right side
    304,130x = 227,606,280,561
  5. Step 5: Solve for x
    x = 227,606,280,561/304,130
  6. Step 6: Final answer
    x = 748,384.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.