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Finding the Third Proportional to 493,670 and 739,203

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Solution

The third proportional to 493,670 and 739,203 is: 1,106,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,670 : 739,203 = 739,203 : x
  2. Step 2: Convert to fraction form
    493,670/739,203 = 739,203/x
  3. Step 3: Cross multiply
    493,670x = 739,203 × 739,203
  4. Step 4: Simplify right side
    493,670x = 546,421,075,209
  5. Step 5: Solve for x
    x = 546,421,075,209/493,670
  6. Step 6: Final answer
    x = 1,106,854.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.