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Finding the Third Proportional to 226,038 and 483,534

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Solution

The third proportional to 226,038 and 483,534 is: 1,034,362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,038 : 483,534 = 483,534 : x
  2. Step 2: Convert to fraction form
    226,038/483,534 = 483,534/x
  3. Step 3: Cross multiply
    226,038x = 483,534 × 483,534
  4. Step 4: Simplify right side
    226,038x = 233,805,129,156
  5. Step 5: Solve for x
    x = 233,805,129,156/226,038
  6. Step 6: Final answer
    x = 1,034,362.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.