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Finding the Third Proportional to 303,320 and 475,776

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Solution

The third proportional to 303,320 and 475,776 is: 746,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,320 : 475,776 = 475,776 : x
  2. Step 2: Convert to fraction form
    303,320/475,776 = 475,776/x
  3. Step 3: Cross multiply
    303,320x = 475,776 × 475,776
  4. Step 4: Simplify right side
    303,320x = 226,362,802,176
  5. Step 5: Solve for x
    x = 226,362,802,176/303,320
  6. Step 6: Final answer
    x = 746,283.80

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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.