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Finding the Third Proportional to 533,248 and 749,976

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Solution

The third proportional to 533,248 and 749,976 is: 1,054,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,248 : 749,976 = 749,976 : x
  2. Step 2: Convert to fraction form
    533,248/749,976 = 749,976/x
  3. Step 3: Cross multiply
    533,248x = 749,976 × 749,976
  4. Step 4: Simplify right side
    533,248x = 562,464,000,576
  5. Step 5: Solve for x
    x = 562,464,000,576/533,248
  6. Step 6: Final answer
    x = 1,054,788.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.