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Finding the Third Proportional to 369,924 and 560,253

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Solution

The third proportional to 369,924 and 560,253 is: 848,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,924 : 560,253 = 560,253 : x
  2. Step 2: Convert to fraction form
    369,924/560,253 = 560,253/x
  3. Step 3: Cross multiply
    369,924x = 560,253 × 560,253
  4. Step 4: Simplify right side
    369,924x = 313,883,424,009
  5. Step 5: Solve for x
    x = 313,883,424,009/369,924
  6. Step 6: Final answer
    x = 848,507.87

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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.