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Finding the Third Proportional to 304,752 and 476,544

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Solution

The third proportional to 304,752 and 476,544 is: 745,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,752 : 476,544 = 476,544 : x
  2. Step 2: Convert to fraction form
    304,752/476,544 = 476,544/x
  3. Step 3: Cross multiply
    304,752x = 476,544 × 476,544
  4. Step 4: Simplify right side
    304,752x = 227,094,183,936
  5. Step 5: Solve for x
    x = 227,094,183,936/304,752
  6. Step 6: Final answer
    x = 745,177.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.