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Finding the Third Proportional to 281,430 and 574,344

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Solution

The third proportional to 281,430 and 574,344 is: 1,172,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,430 : 574,344 = 574,344 : x
  2. Step 2: Convert to fraction form
    281,430/574,344 = 574,344/x
  3. Step 3: Cross multiply
    281,430x = 574,344 × 574,344
  4. Step 4: Simplify right side
    281,430x = 329,871,030,336
  5. Step 5: Solve for x
    x = 329,871,030,336/281,430
  6. Step 6: Final answer
    x = 1,172,124.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.