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Finding the Third Proportional to 613,392.75 and 931,127.06

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Solution

The third proportional to 613,392.75 and 931,127.06 is: 1,413,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,392.75 : 931,127.06 = 931,127.06 : x
  2. Step 2: Convert to fraction form
    613,392.75/931,127.06 = 931,127.06/x
  3. Step 3: Cross multiply
    613,392.75x = 931,127.06 × 931,127.06
  4. Step 4: Simplify right side
    613,392.75x = 866,997,606,519.88
  5. Step 5: Solve for x
    x = 866,997,606,519.88/613,392.75
  6. Step 6: Final answer
    x = 1,413,446.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.