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Finding the Third Proportional to 216,373 and 470,842

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Solution

The third proportional to 216,373 and 470,842 is: 1,024,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,373 : 470,842 = 470,842 : x
  2. Step 2: Convert to fraction form
    216,373/470,842 = 470,842/x
  3. Step 3: Cross multiply
    216,373x = 470,842 × 470,842
  4. Step 4: Simplify right side
    216,373x = 221,692,188,964
  5. Step 5: Solve for x
    x = 221,692,188,964/216,373
  6. Step 6: Final answer
    x = 1,024,583.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.