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Finding the Third Proportional to 501,230 and 767,722

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Solution

The third proportional to 501,230 and 767,722 is: 1,175,901.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,230 : 767,722 = 767,722 : x
  2. Step 2: Convert to fraction form
    501,230/767,722 = 767,722/x
  3. Step 3: Cross multiply
    501,230x = 767,722 × 767,722
  4. Step 4: Simplify right side
    501,230x = 589,397,069,284
  5. Step 5: Solve for x
    x = 589,397,069,284/501,230
  6. Step 6: Final answer
    x = 1,175,901.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.