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Finding the Third Proportional to 500,838 and 775,560

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Solution

The third proportional to 500,838 and 775,560 is: 1,200,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,838 : 775,560 = 775,560 : x
  2. Step 2: Convert to fraction form
    500,838/775,560 = 775,560/x
  3. Step 3: Cross multiply
    500,838x = 775,560 × 775,560
  4. Step 4: Simplify right side
    500,838x = 601,493,313,600
  5. Step 5: Solve for x
    x = 601,493,313,600/500,838
  6. Step 6: Final answer
    x = 1,200,973.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.