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Finding the Third Proportional to 347,030 and 524,922

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Solution

The third proportional to 347,030 and 524,922 is: 794,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,030 : 524,922 = 524,922 : x
  2. Step 2: Convert to fraction form
    347,030/524,922 = 524,922/x
  3. Step 3: Cross multiply
    347,030x = 524,922 × 524,922
  4. Step 4: Simplify right side
    347,030x = 275,543,106,084
  5. Step 5: Solve for x
    x = 275,543,106,084/347,030
  6. Step 6: Final answer
    x = 794,003.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.