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Finding the Third Proportional to 559,574 and 844,680

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Solution

The third proportional to 559,574 and 844,680 is: 1,275,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,574 : 844,680 = 844,680 : x
  2. Step 2: Convert to fraction form
    559,574/844,680 = 844,680/x
  3. Step 3: Cross multiply
    559,574x = 844,680 × 844,680
  4. Step 4: Simplify right side
    559,574x = 713,484,302,400
  5. Step 5: Solve for x
    x = 713,484,302,400/559,574
  6. Step 6: Final answer
    x = 1,275,049.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.