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Finding the Third Proportional to 340,463.25 and 526,844.25

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Solution

The third proportional to 340,463.25 and 526,844.25 is: 815,256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,463.25 : 526,844.25 = 526,844.25 : x
  2. Step 2: Convert to fraction form
    340,463.25/526,844.25 = 526,844.25/x
  3. Step 3: Cross multiply
    340,463.25x = 526,844.25 × 526,844.25
  4. Step 4: Simplify right side
    340,463.25x = 277,564,863,758.06
  5. Step 5: Solve for x
    x = 277,564,863,758.06/340,463.25
  6. Step 6: Final answer
    x = 815,256.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.