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Finding the Third Proportional to 345,413 and 526,476

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Solution

The third proportional to 345,413 and 526,476 is: 802,450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,413 : 526,476 = 526,476 : x
  2. Step 2: Convert to fraction form
    345,413/526,476 = 526,476/x
  3. Step 3: Cross multiply
    345,413x = 526,476 × 526,476
  4. Step 4: Simplify right side
    345,413x = 277,176,978,576
  5. Step 5: Solve for x
    x = 277,176,978,576/345,413
  6. Step 6: Final answer
    x = 802,450.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.