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Finding the Third Proportional to 236,468 and 513,124

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Solution

The third proportional to 236,468 and 513,124 is: 1,113,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,468 : 513,124 = 513,124 : x
  2. Step 2: Convert to fraction form
    236,468/513,124 = 513,124/x
  3. Step 3: Cross multiply
    236,468x = 513,124 × 513,124
  4. Step 4: Simplify right side
    236,468x = 263,296,239,376
  5. Step 5: Solve for x
    x = 263,296,239,376/236,468
  6. Step 6: Final answer
    x = 1,113,454.00

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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.