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Finding the Third Proportional to 501,338 and 776,664

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Solution

The third proportional to 501,338 and 776,664 is: 1,203,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,338 : 776,664 = 776,664 : x
  2. Step 2: Convert to fraction form
    501,338/776,664 = 776,664/x
  3. Step 3: Cross multiply
    501,338x = 776,664 × 776,664
  4. Step 4: Simplify right side
    501,338x = 603,206,968,896
  5. Step 5: Solve for x
    x = 603,206,968,896/501,338
  6. Step 6: Final answer
    x = 1,203,194.19

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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.