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Finding the Third Proportional to 324,072 and 507,216

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Solution

The third proportional to 324,072 and 507,216 is: 793,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,072 : 507,216 = 507,216 : x
  2. Step 2: Convert to fraction form
    324,072/507,216 = 507,216/x
  3. Step 3: Cross multiply
    324,072x = 507,216 × 507,216
  4. Step 4: Simplify right side
    324,072x = 257,268,070,656
  5. Step 5: Solve for x
    x = 257,268,070,656/324,072
  6. Step 6: Final answer
    x = 793,860.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.