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Finding the Third Proportional to 216,342 and 470,000

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Solution

The third proportional to 216,342 and 470,000 is: 1,021,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,342 : 470,000 = 470,000 : x
  2. Step 2: Convert to fraction form
    216,342/470,000 = 470,000/x
  3. Step 3: Cross multiply
    216,342x = 470,000 × 470,000
  4. Step 4: Simplify right side
    216,342x = 220,900,000,000
  5. Step 5: Solve for x
    x = 220,900,000,000/216,342
  6. Step 6: Final answer
    x = 1,021,068.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.