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Finding the Third Proportional to 236,560.50 and 513,050.84

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Solution

The third proportional to 236,560.50 and 513,050.84 is: 1,112,701.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,560.50 : 513,050.84 = 513,050.84 : x
  2. Step 2: Convert to fraction form
    236,560.50/513,050.84 = 513,050.84/x
  3. Step 3: Cross multiply
    236,560.50x = 513,050.84 × 513,050.84
  4. Step 4: Simplify right side
    236,560.50x = 263,221,160,256.17
  5. Step 5: Solve for x
    x = 263,221,160,256.17/236,560.50
  6. Step 6: Final answer
    x = 1,112,701.23

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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.