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Finding the Third Proportional to 598,858 and 904,524

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Solution

The third proportional to 598,858 and 904,524 is: 1,366,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,858 : 904,524 = 904,524 : x
  2. Step 2: Convert to fraction form
    598,858/904,524 = 904,524/x
  3. Step 3: Cross multiply
    598,858x = 904,524 × 904,524
  4. Step 4: Simplify right side
    598,858x = 818,163,666,576
  5. Step 5: Solve for x
    x = 818,163,666,576/598,858
  6. Step 6: Final answer
    x = 1,366,206.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.