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Finding the Third Proportional to 219,749 and 470,602

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Solution

The third proportional to 219,749 and 470,602 is: 1,007,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,749 : 470,602 = 470,602 : x
  2. Step 2: Convert to fraction form
    219,749/470,602 = 470,602/x
  3. Step 3: Cross multiply
    219,749x = 470,602 × 470,602
  4. Step 4: Simplify right side
    219,749x = 221,466,242,404
  5. Step 5: Solve for x
    x = 221,466,242,404/219,749
  6. Step 6: Final answer
    x = 1,007,814.56

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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.