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Finding the Third Proportional to 230,619 and 506,642.25

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Solution

The third proportional to 230,619 and 506,642.25 is: 1,113,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,619 : 506,642.25 = 506,642.25 : x
  2. Step 2: Convert to fraction form
    230,619/506,642.25 = 506,642.25/x
  3. Step 3: Cross multiply
    230,619x = 506,642.25 × 506,642.25
  4. Step 4: Simplify right side
    230,619x = 256,686,369,485.06
  5. Step 5: Solve for x
    x = 256,686,369,485.06/230,619
  6. Step 6: Final answer
    x = 1,113,032.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.