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Finding the Third Proportional to 537,612 and 794,160

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Solution

The third proportional to 537,612 and 794,160 is: 1,173,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,612 : 794,160 = 794,160 : x
  2. Step 2: Convert to fraction form
    537,612/794,160 = 794,160/x
  3. Step 3: Cross multiply
    537,612x = 794,160 × 794,160
  4. Step 4: Simplify right side
    537,612x = 630,690,105,600
  5. Step 5: Solve for x
    x = 630,690,105,600/537,612
  6. Step 6: Final answer
    x = 1,173,132.49

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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.