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Finding the Third Proportional to 530,730 and 794,151

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Solution

The third proportional to 530,730 and 794,151 is: 1,188,317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,730 : 794,151 = 794,151 : x
  2. Step 2: Convert to fraction form
    530,730/794,151 = 794,151/x
  3. Step 3: Cross multiply
    530,730x = 794,151 × 794,151
  4. Step 4: Simplify right side
    530,730x = 630,675,810,801
  5. Step 5: Solve for x
    x = 630,675,810,801/530,730
  6. Step 6: Final answer
    x = 1,188,317.62

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