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Finding the Third Proportional to 230,964 and 506,022

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Solution

The third proportional to 230,964 and 506,022 is: 1,108,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,964 : 506,022 = 506,022 : x
  2. Step 2: Convert to fraction form
    230,964/506,022 = 506,022/x
  3. Step 3: Cross multiply
    230,964x = 506,022 × 506,022
  4. Step 4: Simplify right side
    230,964x = 256,058,264,484
  5. Step 5: Solve for x
    x = 256,058,264,484/230,964
  6. Step 6: Final answer
    x = 1,108,650.11

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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.