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Finding the Third Proportional to 267,038 and 571,984

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Solution

The third proportional to 267,038 and 571,984 is: 1,225,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,038 : 571,984 = 571,984 : x
  2. Step 2: Convert to fraction form
    267,038/571,984 = 571,984/x
  3. Step 3: Cross multiply
    267,038x = 571,984 × 571,984
  4. Step 4: Simplify right side
    267,038x = 327,165,696,256
  5. Step 5: Solve for x
    x = 327,165,696,256/267,038
  6. Step 6: Final answer
    x = 1,225,165.32

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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.