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Finding the Third Proportional to 523,751.63 and 836,820

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Solution

The third proportional to 523,751.63 and 836,820 is: 1,337,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,751.63 : 836,820 = 836,820 : x
  2. Step 2: Convert to fraction form
    523,751.63/836,820 = 836,820/x
  3. Step 3: Cross multiply
    523,751.63x = 836,820 × 836,820
  4. Step 4: Simplify right side
    523,751.63x = 700,267,712,400
  5. Step 5: Solve for x
    x = 700,267,712,400/523,751.63
  6. Step 6: Final answer
    x = 1,337,022.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.