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Finding the Third Proportional to 213,770 and 470,428

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Solution

The third proportional to 213,770 and 470,428 is: 1,035,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,770 : 470,428 = 470,428 : x
  2. Step 2: Convert to fraction form
    213,770/470,428 = 470,428/x
  3. Step 3: Cross multiply
    213,770x = 470,428 × 470,428
  4. Step 4: Simplify right side
    213,770x = 221,302,503,184
  5. Step 5: Solve for x
    x = 221,302,503,184/213,770
  6. Step 6: Final answer
    x = 1,035,236.48

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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.