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Finding the Third Proportional to 501,344 and 776,673

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Solution

The third proportional to 501,344 and 776,673 is: 1,203,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,344 : 776,673 = 776,673 : x
  2. Step 2: Convert to fraction form
    501,344/776,673 = 776,673/x
  3. Step 3: Cross multiply
    501,344x = 776,673 × 776,673
  4. Step 4: Simplify right side
    501,344x = 603,220,948,929
  5. Step 5: Solve for x
    x = 603,220,948,929/501,344
  6. Step 6: Final answer
    x = 1,203,207.68

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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.