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Finding the Third Proportional to 303,084 and 475,470

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Solution

The third proportional to 303,084 and 475,470 is: 745,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,084 : 475,470 = 475,470 : x
  2. Step 2: Convert to fraction form
    303,084/475,470 = 475,470/x
  3. Step 3: Cross multiply
    303,084x = 475,470 × 475,470
  4. Step 4: Simplify right side
    303,084x = 226,071,720,900
  5. Step 5: Solve for x
    x = 226,071,720,900/303,084
  6. Step 6: Final answer
    x = 745,904.50

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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.