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Finding the Third Proportional to 304,219.13 and 477,210

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Solution

The third proportional to 304,219.13 and 477,210 is: 748,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,219.13 : 477,210 = 477,210 : x
  2. Step 2: Convert to fraction form
    304,219.13/477,210 = 477,210/x
  3. Step 3: Cross multiply
    304,219.13x = 477,210 × 477,210
  4. Step 4: Simplify right side
    304,219.13x = 227,729,384,100
  5. Step 5: Solve for x
    x = 227,729,384,100/304,219.13
  6. Step 6: Final answer
    x = 748,570.24

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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.