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Finding the Third Proportional to 613,396.13 and 931,130.44

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Solution

The third proportional to 613,396.13 and 931,130.44 is: 1,413,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,396.13 : 931,130.44 = 931,130.44 : x
  2. Step 2: Convert to fraction form
    613,396.13/931,130.44 = 931,130.44/x
  3. Step 3: Cross multiply
    613,396.13x = 931,130.44 × 931,130.44
  4. Step 4: Simplify right side
    613,396.13x = 867,003,891,638.94
  5. Step 5: Solve for x
    x = 867,003,891,638.94/613,396.13
  6. Step 6: Final answer
    x = 1,413,448.60

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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.