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Finding the Third Proportional to 521,706 and 829,251

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Solution

The third proportional to 521,706 and 829,251 is: 1,318,093.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,706 : 829,251 = 829,251 : x
  2. Step 2: Convert to fraction form
    521,706/829,251 = 829,251/x
  3. Step 3: Cross multiply
    521,706x = 829,251 × 829,251
  4. Step 4: Simplify right side
    521,706x = 687,657,221,001
  5. Step 5: Solve for x
    x = 687,657,221,001/521,706
  6. Step 6: Final answer
    x = 1,318,093.37

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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.