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Finding the Third Proportional to 561,264 and 842,536

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Solution

The third proportional to 561,264 and 842,536 is: 1,264,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,264 : 842,536 = 842,536 : x
  2. Step 2: Convert to fraction form
    561,264/842,536 = 842,536/x
  3. Step 3: Cross multiply
    561,264x = 842,536 × 842,536
  4. Step 4: Simplify right side
    561,264x = 709,866,911,296
  5. Step 5: Solve for x
    x = 709,866,911,296/561,264
  6. Step 6: Final answer
    x = 1,264,764.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.