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Finding the Third Proportional to 325,288 and 507,606

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Solution

The third proportional to 325,288 and 507,606 is: 792,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,288 : 507,606 = 507,606 : x
  2. Step 2: Convert to fraction form
    325,288/507,606 = 507,606/x
  3. Step 3: Cross multiply
    325,288x = 507,606 × 507,606
  4. Step 4: Simplify right side
    325,288x = 257,663,851,236
  5. Step 5: Solve for x
    x = 257,663,851,236/325,288
  6. Step 6: Final answer
    x = 792,109.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.