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Finding the Third Proportional to 236,744 and 507,184

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Solution

The third proportional to 236,744 and 507,184 is: 1,086,555.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,744 : 507,184 = 507,184 : x
  2. Step 2: Convert to fraction form
    236,744/507,184 = 507,184/x
  3. Step 3: Cross multiply
    236,744x = 507,184 × 507,184
  4. Step 4: Simplify right side
    236,744x = 257,235,609,856
  5. Step 5: Solve for x
    x = 257,235,609,856/236,744
  6. Step 6: Final answer
    x = 1,086,555.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.