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Finding the Third Proportional to 624,320.16 and 940,170.80

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Solution

The third proportional to 624,320.16 and 940,170.80 is: 1,415,813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,320.16 : 940,170.80 = 940,170.80 : x
  2. Step 2: Convert to fraction form
    624,320.16/940,170.80 = 940,170.80/x
  3. Step 3: Cross multiply
    624,320.16x = 940,170.80 × 940,170.80
  4. Step 4: Simplify right side
    624,320.16x = 883,921,127,296.57
  5. Step 5: Solve for x
    x = 883,921,127,296.57/624,320.16
  6. Step 6: Final answer
    x = 1,415,813.86

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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.