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Finding the Third Proportional to 398,781.38 and 612,955.69

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Solution

The third proportional to 398,781.38 and 612,955.69 is: 942,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,781.38 : 612,955.69 = 612,955.69 : x
  2. Step 2: Convert to fraction form
    398,781.38/612,955.69 = 612,955.69/x
  3. Step 3: Cross multiply
    398,781.38x = 612,955.69 × 612,955.69
  4. Step 4: Simplify right side
    398,781.38x = 375,714,674,838.60
  5. Step 5: Solve for x
    x = 375,714,674,838.60/398,781.38
  6. Step 6: Final answer
    x = 942,157.03

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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.