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Finding the Third Proportional to 236,391 and 506,001

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Solution

The third proportional to 236,391 and 506,001 is: 1,083,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,391 : 506,001 = 506,001 : x
  2. Step 2: Convert to fraction form
    236,391/506,001 = 506,001/x
  3. Step 3: Cross multiply
    236,391x = 506,001 × 506,001
  4. Step 4: Simplify right side
    236,391x = 256,037,012,001
  5. Step 5: Solve for x
    x = 256,037,012,001/236,391
  6. Step 6: Final answer
    x = 1,083,108.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.