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Finding the Third Proportional to 219,028 and 469,160

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Solution

The third proportional to 219,028 and 469,160 is: 1,004,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,028 : 469,160 = 469,160 : x
  2. Step 2: Convert to fraction form
    219,028/469,160 = 469,160/x
  3. Step 3: Cross multiply
    219,028x = 469,160 × 469,160
  4. Step 4: Simplify right side
    219,028x = 220,111,105,600
  5. Step 5: Solve for x
    x = 220,111,105,600/219,028
  6. Step 6: Final answer
    x = 1,004,945.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.