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Finding the Third Proportional to 303,096 and 475,488

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Solution

The third proportional to 303,096 and 475,488 is: 745,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,096 : 475,488 = 475,488 : x
  2. Step 2: Convert to fraction form
    303,096/475,488 = 475,488/x
  3. Step 3: Cross multiply
    303,096x = 475,488 × 475,488
  4. Step 4: Simplify right side
    303,096x = 226,088,838,144
  5. Step 5: Solve for x
    x = 226,088,838,144/303,096
  6. Step 6: Final answer
    x = 745,931.45

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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.