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Finding the Third Proportional to 331,476 and 525,712

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Solution

The third proportional to 331,476 and 525,712 is: 833,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,476 : 525,712 = 525,712 : x
  2. Step 2: Convert to fraction form
    331,476/525,712 = 525,712/x
  3. Step 3: Cross multiply
    331,476x = 525,712 × 525,712
  4. Step 4: Simplify right side
    331,476x = 276,373,106,944
  5. Step 5: Solve for x
    x = 276,373,106,944/331,476
  6. Step 6: Final answer
    x = 833,765.06

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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.