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Finding the Third Proportional to 229,668 and 492,552

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Solution

The third proportional to 229,668 and 492,552 is: 1,056,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,668 : 492,552 = 492,552 : x
  2. Step 2: Convert to fraction form
    229,668/492,552 = 492,552/x
  3. Step 3: Cross multiply
    229,668x = 492,552 × 492,552
  4. Step 4: Simplify right side
    229,668x = 242,607,472,704
  5. Step 5: Solve for x
    x = 242,607,472,704/229,668
  6. Step 6: Final answer
    x = 1,056,339.90

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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.