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Finding the Third Proportional to 790,258.50 and 1,713,380.25

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Solution

The third proportional to 790,258.50 and 1,713,380.25 is: 3,714,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,258.50 : 1,713,380.25 = 1,713,380.25 : x
  2. Step 2: Convert to fraction form
    790,258.50/1,713,380.25 = 1,713,380.25/x
  3. Step 3: Cross multiply
    790,258.50x = 1,713,380.25 × 1,713,380.25
  4. Step 4: Simplify right side
    790,258.50x = 2,935,671,881,090.06
  5. Step 5: Solve for x
    x = 2,935,671,881,090.06/790,258.50
  6. Step 6: Final answer
    x = 3,714,824.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.