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Finding the Third Proportional to 533,063 and 1,258,377

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Solution

The third proportional to 533,063 and 1,258,377 is: 2,970,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,063 : 1,258,377 = 1,258,377 : x
  2. Step 2: Convert to fraction form
    533,063/1,258,377 = 1,258,377/x
  3. Step 3: Cross multiply
    533,063x = 1,258,377 × 1,258,377
  4. Step 4: Simplify right side
    533,063x = 1,583,512,674,129
  5. Step 5: Solve for x
    x = 1,583,512,674,129/533,063
  6. Step 6: Final answer
    x = 2,970,591.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.