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Finding the Third Proportional to 523,604 and 806,000

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Solution

The third proportional to 523,604 and 806,000 is: 1,240,700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,604 : 806,000 = 806,000 : x
  2. Step 2: Convert to fraction form
    523,604/806,000 = 806,000/x
  3. Step 3: Cross multiply
    523,604x = 806,000 × 806,000
  4. Step 4: Simplify right side
    523,604x = 649,636,000,000
  5. Step 5: Solve for x
    x = 649,636,000,000/523,604
  6. Step 6: Final answer
    x = 1,240,700.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.