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Finding the Third Proportional to 232,905 and 499,014

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Solution

The third proportional to 232,905 and 499,014 is: 1,069,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,905 : 499,014 = 499,014 : x
  2. Step 2: Convert to fraction form
    232,905/499,014 = 499,014/x
  3. Step 3: Cross multiply
    232,905x = 499,014 × 499,014
  4. Step 4: Simplify right side
    232,905x = 249,014,972,196
  5. Step 5: Solve for x
    x = 249,014,972,196/232,905
  6. Step 6: Final answer
    x = 1,069,169.71

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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.