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Finding the Third Proportional to 216,974 and 470,033

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Solution

The third proportional to 216,974 and 470,033 is: 1,018,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,974 : 470,033 = 470,033 : x
  2. Step 2: Convert to fraction form
    216,974/470,033 = 470,033/x
  3. Step 3: Cross multiply
    216,974x = 470,033 × 470,033
  4. Step 4: Simplify right side
    216,974x = 220,931,021,089
  5. Step 5: Solve for x
    x = 220,931,021,089/216,974
  6. Step 6: Final answer
    x = 1,018,237.31

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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.