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Finding the Third Proportional to 236,496 and 507,984

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Solution

The third proportional to 236,496 and 507,984 is: 1,091,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,496 : 507,984 = 507,984 : x
  2. Step 2: Convert to fraction form
    236,496/507,984 = 507,984/x
  3. Step 3: Cross multiply
    236,496x = 507,984 × 507,984
  4. Step 4: Simplify right side
    236,496x = 258,047,744,256
  5. Step 5: Solve for x
    x = 258,047,744,256/236,496
  6. Step 6: Final answer
    x = 1,091,129.42

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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.