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Finding the Third Proportional to 501,242 and 767,740

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Solution

The third proportional to 501,242 and 767,740 is: 1,175,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,242 : 767,740 = 767,740 : x
  2. Step 2: Convert to fraction form
    501,242/767,740 = 767,740/x
  3. Step 3: Cross multiply
    501,242x = 767,740 × 767,740
  4. Step 4: Simplify right side
    501,242x = 589,424,707,600
  5. Step 5: Solve for x
    x = 589,424,707,600/501,242
  6. Step 6: Final answer
    x = 1,175,928.41

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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.