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Finding the Third Proportional to 331,421.63 and 525,629.25

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Solution

The third proportional to 331,421.63 and 525,629.25 is: 833,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,421.63 : 525,629.25 = 525,629.25 : x
  2. Step 2: Convert to fraction form
    331,421.63/525,629.25 = 525,629.25/x
  3. Step 3: Cross multiply
    331,421.63x = 525,629.25 × 525,629.25
  4. Step 4: Simplify right side
    331,421.63x = 276,286,108,455.56
  5. Step 5: Solve for x
    x = 276,286,108,455.56/331,421.63
  6. Step 6: Final answer
    x = 833,639.35

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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.