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Finding the Third Proportional to 213,870.38 and 463,026.38

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Solution

The third proportional to 213,870.38 and 463,026.38 is: 1,002,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,870.38 : 463,026.38 = 463,026.38 : x
  2. Step 2: Convert to fraction form
    213,870.38/463,026.38 = 463,026.38/x
  3. Step 3: Cross multiply
    213,870.38x = 463,026.38 × 463,026.38
  4. Step 4: Simplify right side
    213,870.38x = 214,393,423,945.64
  5. Step 5: Solve for x
    x = 214,393,423,945.64/213,870.38
  6. Step 6: Final answer
    x = 1,002,445.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.