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Finding the Third Proportional to 216,399 and 470,904

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Solution

The third proportional to 216,399 and 470,904 is: 1,024,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,399 : 470,904 = 470,904 : x
  2. Step 2: Convert to fraction form
    216,399/470,904 = 470,904/x
  3. Step 3: Cross multiply
    216,399x = 470,904 × 470,904
  4. Step 4: Simplify right side
    216,399x = 221,750,577,216
  5. Step 5: Solve for x
    x = 221,750,577,216/216,399
  6. Step 6: Final answer
    x = 1,024,730.14

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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.