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Finding the Third Proportional to 239,782 and 525,248

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Solution

The third proportional to 239,782 and 525,248 is: 1,150,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,782 : 525,248 = 525,248 : x
  2. Step 2: Convert to fraction form
    239,782/525,248 = 525,248/x
  3. Step 3: Cross multiply
    239,782x = 525,248 × 525,248
  4. Step 4: Simplify right side
    239,782x = 275,885,461,504
  5. Step 5: Solve for x
    x = 275,885,461,504/239,782
  6. Step 6: Final answer
    x = 1,150,567.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.