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Finding the Third Proportional to 267,927 and 572,700

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Solution

The third proportional to 267,927 and 572,700 is: 1,224,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,927 : 572,700 = 572,700 : x
  2. Step 2: Convert to fraction form
    267,927/572,700 = 572,700/x
  3. Step 3: Cross multiply
    267,927x = 572,700 × 572,700
  4. Step 4: Simplify right side
    267,927x = 327,985,290,000
  5. Step 5: Solve for x
    x = 327,985,290,000/267,927
  6. Step 6: Final answer
    x = 1,224,159.16

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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.