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Finding the Third Proportional to 403,500 and 586,242

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Solution

The third proportional to 403,500 and 586,242 is: 851,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,500 : 586,242 = 586,242 : x
  2. Step 2: Convert to fraction form
    403,500/586,242 = 586,242/x
  3. Step 3: Cross multiply
    403,500x = 586,242 × 586,242
  4. Step 4: Simplify right side
    403,500x = 343,679,682,564
  5. Step 5: Solve for x
    x = 343,679,682,564/403,500
  6. Step 6: Final answer
    x = 851,746.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.