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Finding the Third Proportional to 303,106 and 475,476

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Solution

The third proportional to 303,106 and 475,476 is: 745,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,106 : 475,476 = 475,476 : x
  2. Step 2: Convert to fraction form
    303,106/475,476 = 475,476/x
  3. Step 3: Cross multiply
    303,106x = 475,476 × 475,476
  4. Step 4: Simplify right side
    303,106x = 226,077,426,576
  5. Step 5: Solve for x
    x = 226,077,426,576/303,106
  6. Step 6: Final answer
    x = 745,869.19

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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.