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Finding the Third Proportional to 209,883 and 332,877

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Solution

The third proportional to 209,883 and 332,877 is: 527,946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,883 : 332,877 = 332,877 : x
  2. Step 2: Convert to fraction form
    209,883/332,877 = 332,877/x
  3. Step 3: Cross multiply
    209,883x = 332,877 × 332,877
  4. Step 4: Simplify right side
    209,883x = 110,807,097,129
  5. Step 5: Solve for x
    x = 110,807,097,129/209,883
  6. Step 6: Final answer
    x = 527,946.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.