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Finding the Third Proportional to 533,244 and 749,970

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Solution

The third proportional to 533,244 and 749,970 is: 1,054,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,244 : 749,970 = 749,970 : x
  2. Step 2: Convert to fraction form
    533,244/749,970 = 749,970/x
  3. Step 3: Cross multiply
    533,244x = 749,970 × 749,970
  4. Step 4: Simplify right side
    533,244x = 562,455,000,900
  5. Step 5: Solve for x
    x = 562,455,000,900/533,244
  6. Step 6: Final answer
    x = 1,054,779.80

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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.