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Finding the Third Proportional to 229,652 and 492,522

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Solution

The third proportional to 229,652 and 492,522 is: 1,056,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,652 : 492,522 = 492,522 : x
  2. Step 2: Convert to fraction form
    229,652/492,522 = 492,522/x
  3. Step 3: Cross multiply
    229,652x = 492,522 × 492,522
  4. Step 4: Simplify right side
    229,652x = 242,577,920,484
  5. Step 5: Solve for x
    x = 242,577,920,484/229,652
  6. Step 6: Final answer
    x = 1,056,284.82

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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.