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Finding the Third Proportional to 560,178 and 848,726

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Solution

The third proportional to 560,178 and 848,726 is: 1,285,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,178 : 848,726 = 848,726 : x
  2. Step 2: Convert to fraction form
    560,178/848,726 = 848,726/x
  3. Step 3: Cross multiply
    560,178x = 848,726 × 848,726
  4. Step 4: Simplify right side
    560,178x = 720,335,823,076
  5. Step 5: Solve for x
    x = 720,335,823,076/560,178
  6. Step 6: Final answer
    x = 1,285,905.24

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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.