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Finding the Third Proportional to 304,276 and 477,304

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Solution

The third proportional to 304,276 and 477,304 is: 748,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,276 : 477,304 = 477,304 : x
  2. Step 2: Convert to fraction form
    304,276/477,304 = 477,304/x
  3. Step 3: Cross multiply
    304,276x = 477,304 × 477,304
  4. Step 4: Simplify right side
    304,276x = 227,819,108,416
  5. Step 5: Solve for x
    x = 227,819,108,416/304,276
  6. Step 6: Final answer
    x = 748,725.20

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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.