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Finding the Third Proportional to 560,152.13 and 848,694.38

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Solution

The third proportional to 560,152.13 and 848,694.38 is: 1,285,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,152.13 : 848,694.38 = 848,694.38 : x
  2. Step 2: Convert to fraction form
    560,152.13/848,694.38 = 848,694.38/x
  3. Step 3: Cross multiply
    560,152.13x = 848,694.38 × 848,694.38
  4. Step 4: Simplify right side
    560,152.13x = 720,282,142,156.64
  5. Step 5: Solve for x
    x = 720,282,142,156.64/560,152.13
  6. Step 6: Final answer
    x = 1,285,868.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.