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Finding the Third Proportional to 591,376 and 904,802

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Solution

The third proportional to 591,376 and 904,802 is: 1,384,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,376 : 904,802 = 904,802 : x
  2. Step 2: Convert to fraction form
    591,376/904,802 = 904,802/x
  3. Step 3: Cross multiply
    591,376x = 904,802 × 904,802
  4. Step 4: Simplify right side
    591,376x = 818,666,659,204
  5. Step 5: Solve for x
    x = 818,666,659,204/591,376
  6. Step 6: Final answer
    x = 1,384,342.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.