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Finding the Third Proportional to 500,896 and 776,800

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Solution

The third proportional to 500,896 and 776,800 is: 1,204,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,896 : 776,800 = 776,800 : x
  2. Step 2: Convert to fraction form
    500,896/776,800 = 776,800/x
  3. Step 3: Cross multiply
    500,896x = 776,800 × 776,800
  4. Step 4: Simplify right side
    500,896x = 603,418,240,000
  5. Step 5: Solve for x
    x = 603,418,240,000/500,896
  6. Step 6: Final answer
    x = 1,204,677.70

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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.