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Finding the Third Proportional to 598,172.06 and 919,433.53

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Solution

The third proportional to 598,172.06 and 919,433.53 is: 1,413,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,172.06 : 919,433.53 = 919,433.53 : x
  2. Step 2: Convert to fraction form
    598,172.06/919,433.53 = 919,433.53/x
  3. Step 3: Cross multiply
    598,172.06x = 919,433.53 × 919,433.53
  4. Step 4: Simplify right side
    598,172.06x = 845,358,018,386.85
  5. Step 5: Solve for x
    x = 845,358,018,386.85/598,172.06
  6. Step 6: Final answer
    x = 1,413,235.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.