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Finding the Third Proportional to 213,945.50 and 463,566

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Solution

The third proportional to 213,945.50 and 463,566 is: 1,004,430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,945.50 : 463,566 = 463,566 : x
  2. Step 2: Convert to fraction form
    213,945.50/463,566 = 463,566/x
  3. Step 3: Cross multiply
    213,945.50x = 463,566 × 463,566
  4. Step 4: Simplify right side
    213,945.50x = 214,893,436,356
  5. Step 5: Solve for x
    x = 214,893,436,356/213,945.50
  6. Step 6: Final answer
    x = 1,004,430.74

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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.