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Finding the Third Proportional to 235,924.31 and 513,320.63

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Solution

The third proportional to 235,924.31 and 513,320.63 is: 1,116,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,924.31 : 513,320.63 = 513,320.63 : x
  2. Step 2: Convert to fraction form
    235,924.31/513,320.63 = 513,320.63/x
  3. Step 3: Cross multiply
    235,924.31x = 513,320.63 × 513,320.63
  4. Step 4: Simplify right side
    235,924.31x = 263,498,064,050.39
  5. Step 5: Solve for x
    x = 263,498,064,050.39/235,924.31
  6. Step 6: Final answer
    x = 1,116,875.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.