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Finding the Third Proportional to 229,040 and 488,512

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Solution

The third proportional to 229,040 and 488,512 is: 1,041,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,040 : 488,512 = 488,512 : x
  2. Step 2: Convert to fraction form
    229,040/488,512 = 488,512/x
  3. Step 3: Cross multiply
    229,040x = 488,512 × 488,512
  4. Step 4: Simplify right side
    229,040x = 238,643,974,144
  5. Step 5: Solve for x
    x = 238,643,974,144/229,040
  6. Step 6: Final answer
    x = 1,041,931.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.