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Finding the Third Proportional to 325,280 and 507,593

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Solution

The third proportional to 325,280 and 507,593 is: 792,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,280 : 507,593 = 507,593 : x
  2. Step 2: Convert to fraction form
    325,280/507,593 = 507,593/x
  3. Step 3: Cross multiply
    325,280x = 507,593 × 507,593
  4. Step 4: Simplify right side
    325,280x = 257,650,653,649
  5. Step 5: Solve for x
    x = 257,650,653,649/325,280
  6. Step 6: Final answer
    x = 792,088.83

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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.