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Finding the Third Proportional to 254,772.84 and 520,602.19

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Solution

The third proportional to 254,772.84 and 520,602.19 is: 1,063,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,772.84 : 520,602.19 = 520,602.19 : x
  2. Step 2: Convert to fraction form
    254,772.84/520,602.19 = 520,602.19/x
  3. Step 3: Cross multiply
    254,772.84x = 520,602.19 × 520,602.19
  4. Step 4: Simplify right side
    254,772.84x = 271,026,637,629.79
  5. Step 5: Solve for x
    x = 271,026,637,629.79/254,772.84
  6. Step 6: Final answer
    x = 1,063,797.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.