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Finding the Third Proportional to 521,739 and 829,939.50

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Solution

The third proportional to 521,739 and 829,939.50 is: 1,320,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,739 : 829,939.50 = 829,939.50 : x
  2. Step 2: Convert to fraction form
    521,739/829,939.50 = 829,939.50/x
  3. Step 3: Cross multiply
    521,739x = 829,939.50 × 829,939.50
  4. Step 4: Simplify right side
    521,739x = 688,799,573,660.25
  5. Step 5: Solve for x
    x = 688,799,573,660.25/521,739
  6. Step 6: Final answer
    x = 1,320,199.51

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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.