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Finding the Third Proportional to 216,938 and 470,372

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Solution

The third proportional to 216,938 and 470,372 is: 1,019,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,938 : 470,372 = 470,372 : x
  2. Step 2: Convert to fraction form
    216,938/470,372 = 470,372/x
  3. Step 3: Cross multiply
    216,938x = 470,372 × 470,372
  4. Step 4: Simplify right side
    216,938x = 221,249,818,384
  5. Step 5: Solve for x
    x = 221,249,818,384/216,938
  6. Step 6: Final answer
    x = 1,019,875.81

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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.