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Finding the Third Proportional to 561,128 and 847,524

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Solution

The third proportional to 561,128 and 847,524 is: 1,280,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,128 : 847,524 = 847,524 : x
  2. Step 2: Convert to fraction form
    561,128/847,524 = 847,524/x
  3. Step 3: Cross multiply
    561,128x = 847,524 × 847,524
  4. Step 4: Simplify right side
    561,128x = 718,296,930,576
  5. Step 5: Solve for x
    x = 718,296,930,576/561,128
  6. Step 6: Final answer
    x = 1,280,094.61

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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.