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Finding the Third Proportional to 524,365.31 and 793,637.16

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Solution

The third proportional to 524,365.31 and 793,637.16 is: 1,201,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,365.31 : 793,637.16 = 793,637.16 : x
  2. Step 2: Convert to fraction form
    524,365.31/793,637.16 = 793,637.16/x
  3. Step 3: Cross multiply
    524,365.31x = 793,637.16 × 793,637.16
  4. Step 4: Simplify right side
    524,365.31x = 629,859,935,780.59
  5. Step 5: Solve for x
    x = 629,859,935,780.59/524,365.31
  6. Step 6: Final answer
    x = 1,201,185.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.