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Finding the Third Proportional to 476,571.38 and 742,991.63

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Solution

The third proportional to 476,571.38 and 742,991.63 is: 1,158,350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,571.38 : 742,991.63 = 742,991.63 : x
  2. Step 2: Convert to fraction form
    476,571.38/742,991.63 = 742,991.63/x
  3. Step 3: Cross multiply
    476,571.38x = 742,991.63 × 742,991.63
  4. Step 4: Simplify right side
    476,571.38x = 552,036,554,820.14
  5. Step 5: Solve for x
    x = 552,036,554,820.14/476,571.38
  6. Step 6: Final answer
    x = 1,158,350.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.