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Finding the Third Proportional to 523,239 and 784,860

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Solution

The third proportional to 523,239 and 784,860 is: 1,177,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,239 : 784,860 = 784,860 : x
  2. Step 2: Convert to fraction form
    523,239/784,860 = 784,860/x
  3. Step 3: Cross multiply
    523,239x = 784,860 × 784,860
  4. Step 4: Simplify right side
    523,239x = 616,005,219,600
  5. Step 5: Solve for x
    x = 616,005,219,600/523,239
  6. Step 6: Final answer
    x = 1,177,292.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.