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Finding the Third Proportional to 229,248 and 488,014

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Solution

The third proportional to 229,248 and 488,014 is: 1,038,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,248 : 488,014 = 488,014 : x
  2. Step 2: Convert to fraction form
    229,248/488,014 = 488,014/x
  3. Step 3: Cross multiply
    229,248x = 488,014 × 488,014
  4. Step 4: Simplify right side
    229,248x = 238,157,664,196
  5. Step 5: Solve for x
    x = 238,157,664,196/229,248
  6. Step 6: Final answer
    x = 1,038,864.74

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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.