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Finding the Third Proportional to 325,282 and 507,596

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Solution

The third proportional to 325,282 and 507,596 is: 792,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,282 : 507,596 = 507,596 : x
  2. Step 2: Convert to fraction form
    325,282/507,596 = 507,596/x
  3. Step 3: Cross multiply
    325,282x = 507,596 × 507,596
  4. Step 4: Simplify right side
    325,282x = 257,653,699,216
  5. Step 5: Solve for x
    x = 257,653,699,216/325,282
  6. Step 6: Final answer
    x = 792,093.32

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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.