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Finding the Third Proportional to 493,456 and 780,600

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Solution

The third proportional to 493,456 and 780,600 is: 1,234,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,456 : 780,600 = 780,600 : x
  2. Step 2: Convert to fraction form
    493,456/780,600 = 780,600/x
  3. Step 3: Cross multiply
    493,456x = 780,600 × 780,600
  4. Step 4: Simplify right side
    493,456x = 609,336,360,000
  5. Step 5: Solve for x
    x = 609,336,360,000/493,456
  6. Step 6: Final answer
    x = 1,234,834.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.