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Finding the Third Proportional to 794,403 and 1,176,169.50

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Solution

The third proportional to 794,403 and 1,176,169.50 is: 1,741,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,403 : 1,176,169.50 = 1,176,169.50 : x
  2. Step 2: Convert to fraction form
    794,403/1,176,169.50 = 1,176,169.50/x
  3. Step 3: Cross multiply
    794,403x = 1,176,169.50 × 1,176,169.50
  4. Step 4: Simplify right side
    794,403x = 1,383,374,692,730.25
  5. Step 5: Solve for x
    x = 1,383,374,692,730.25/794,403
  6. Step 6: Final answer
    x = 1,741,401.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.