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Finding the Third Proportional to 236,470 and 507,932

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Solution

The third proportional to 236,470 and 507,932 is: 1,091,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,470 : 507,932 = 507,932 : x
  2. Step 2: Convert to fraction form
    236,470/507,932 = 507,932/x
  3. Step 3: Cross multiply
    236,470x = 507,932 × 507,932
  4. Step 4: Simplify right side
    236,470x = 257,994,916,624
  5. Step 5: Solve for x
    x = 257,994,916,624/236,470
  6. Step 6: Final answer
    x = 1,091,025.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.