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Finding the Third Proportional to 232,962 and 499,164

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Solution

The third proportional to 232,962 and 499,164 is: 1,069,550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,962 : 499,164 = 499,164 : x
  2. Step 2: Convert to fraction form
    232,962/499,164 = 499,164/x
  3. Step 3: Cross multiply
    232,962x = 499,164 × 499,164
  4. Step 4: Simplify right side
    232,962x = 249,164,698,896
  5. Step 5: Solve for x
    x = 249,164,698,896/232,962
  6. Step 6: Final answer
    x = 1,069,550.82

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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.