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Finding the Third Proportional to 329,262 and 507,575

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Solution

The third proportional to 329,262 and 507,575 is: 782,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,262 : 507,575 = 507,575 : x
  2. Step 2: Convert to fraction form
    329,262/507,575 = 507,575/x
  3. Step 3: Cross multiply
    329,262x = 507,575 × 507,575
  4. Step 4: Simplify right side
    329,262x = 257,632,380,625
  5. Step 5: Solve for x
    x = 257,632,380,625/329,262
  6. Step 6: Final answer
    x = 782,454.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.