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Finding the Third Proportional to 255,557.13 and 557,527.38

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Solution

The third proportional to 255,557.13 and 557,527.38 is: 1,216,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,557.13 : 557,527.38 = 557,527.38 : x
  2. Step 2: Convert to fraction form
    255,557.13/557,527.38 = 557,527.38/x
  3. Step 3: Cross multiply
    255,557.13x = 557,527.38 × 557,527.38
  4. Step 4: Simplify right side
    255,557.13x = 310,836,773,874.39
  5. Step 5: Solve for x
    x = 310,836,773,874.39/255,557.13
  6. Step 6: Final answer
    x = 1,216,310.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.