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Finding the Third Proportional to 216,352 and 475,328

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Solution

The third proportional to 216,352 and 475,328 is: 1,044,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,352 : 475,328 = 475,328 : x
  2. Step 2: Convert to fraction form
    216,352/475,328 = 475,328/x
  3. Step 3: Cross multiply
    216,352x = 475,328 × 475,328
  4. Step 4: Simplify right side
    216,352x = 225,936,707,584
  5. Step 5: Solve for x
    x = 225,936,707,584/216,352
  6. Step 6: Final answer
    x = 1,044,301.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.