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Finding the Third Proportional to 523,626 and 806,033

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Solution

The third proportional to 523,626 and 806,033 is: 1,240,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,626 : 806,033 = 806,033 : x
  2. Step 2: Convert to fraction form
    523,626/806,033 = 806,033/x
  3. Step 3: Cross multiply
    523,626x = 806,033 × 806,033
  4. Step 4: Simplify right side
    523,626x = 649,689,197,089
  5. Step 5: Solve for x
    x = 649,689,197,089/523,626
  6. Step 6: Final answer
    x = 1,240,750.45

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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.