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Finding the Third Proportional to 559,552 and 844,004

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Solution

The third proportional to 559,552 and 844,004 is: 1,273,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,552 : 844,004 = 844,004 : x
  2. Step 2: Convert to fraction form
    559,552/844,004 = 844,004/x
  3. Step 3: Cross multiply
    559,552x = 844,004 × 844,004
  4. Step 4: Simplify right side
    559,552x = 712,342,752,016
  5. Step 5: Solve for x
    x = 712,342,752,016/559,552
  6. Step 6: Final answer
    x = 1,273,059.08

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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.