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Finding the Third Proportional to 236,425 and 513,038

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Solution

The third proportional to 236,425 and 513,038 is: 1,113,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,425 : 513,038 = 513,038 : x
  2. Step 2: Convert to fraction form
    236,425/513,038 = 513,038/x
  3. Step 3: Cross multiply
    236,425x = 513,038 × 513,038
  4. Step 4: Simplify right side
    236,425x = 263,207,989,444
  5. Step 5: Solve for x
    x = 263,207,989,444/236,425
  6. Step 6: Final answer
    x = 1,113,283.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.