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Finding the Third Proportional to 325,282.50 and 507,596.63

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Solution

The third proportional to 325,282.50 and 507,596.63 is: 792,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,282.50 : 507,596.63 = 507,596.63 : x
  2. Step 2: Convert to fraction form
    325,282.50/507,596.63 = 507,596.63/x
  3. Step 3: Cross multiply
    325,282.50x = 507,596.63 × 507,596.63
  4. Step 4: Simplify right side
    325,282.50x = 257,654,333,711.39
  5. Step 5: Solve for x
    x = 257,654,333,711.39/325,282.50
  6. Step 6: Final answer
    x = 792,094.05

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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.