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Finding the Third Proportional to 230,968 and 506,030

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Solution

The third proportional to 230,968 and 506,030 is: 1,108,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,968 : 506,030 = 506,030 : x
  2. Step 2: Convert to fraction form
    230,968/506,030 = 506,030/x
  3. Step 3: Cross multiply
    230,968x = 506,030 × 506,030
  4. Step 4: Simplify right side
    230,968x = 256,066,360,900
  5. Step 5: Solve for x
    x = 256,066,360,900/230,968
  6. Step 6: Final answer
    x = 1,108,665.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.