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Finding the Third Proportional to 533,256 and 749,988

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Solution

The third proportional to 533,256 and 749,988 is: 1,054,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,256 : 749,988 = 749,988 : x
  2. Step 2: Convert to fraction form
    533,256/749,988 = 749,988/x
  3. Step 3: Cross multiply
    533,256x = 749,988 × 749,988
  4. Step 4: Simplify right side
    533,256x = 562,482,000,144
  5. Step 5: Solve for x
    x = 562,482,000,144/533,256
  6. Step 6: Final answer
    x = 1,054,806.70

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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.