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Finding the Third Proportional to 564,816 and 790,011

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Solution

The third proportional to 564,816 and 790,011 is: 1,104,992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,816 : 790,011 = 790,011 : x
  2. Step 2: Convert to fraction form
    564,816/790,011 = 790,011/x
  3. Step 3: Cross multiply
    564,816x = 790,011 × 790,011
  4. Step 4: Simplify right side
    564,816x = 624,117,380,121
  5. Step 5: Solve for x
    x = 624,117,380,121/564,816
  6. Step 6: Final answer
    x = 1,104,992.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.