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Finding the Third Proportional to 230,972 and 506,038

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Solution

The third proportional to 230,972 and 506,038 is: 1,108,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,972 : 506,038 = 506,038 : x
  2. Step 2: Convert to fraction form
    230,972/506,038 = 506,038/x
  3. Step 3: Cross multiply
    230,972x = 506,038 × 506,038
  4. Step 4: Simplify right side
    230,972x = 256,074,457,444
  5. Step 5: Solve for x
    x = 256,074,457,444/230,972
  6. Step 6: Final answer
    x = 1,108,681.82

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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.