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Finding the Third Proportional to 530,736 and 794,154

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Solution

The third proportional to 530,736 and 794,154 is: 1,188,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,736 : 794,154 = 794,154 : x
  2. Step 2: Convert to fraction form
    530,736/794,154 = 794,154/x
  3. Step 3: Cross multiply
    530,736x = 794,154 × 794,154
  4. Step 4: Simplify right side
    530,736x = 630,680,575,716
  5. Step 5: Solve for x
    x = 630,680,575,716/530,736
  6. Step 6: Final answer
    x = 1,188,313.16

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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.