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Finding the Third Proportional to 591,383 and 904,814

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Solution

The third proportional to 591,383 and 904,814 is: 1,384,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,383 : 904,814 = 904,814 : x
  2. Step 2: Convert to fraction form
    591,383/904,814 = 904,814/x
  3. Step 3: Cross multiply
    591,383x = 904,814 × 904,814
  4. Step 4: Simplify right side
    591,383x = 818,688,374,596
  5. Step 5: Solve for x
    x = 818,688,374,596/591,383
  6. Step 6: Final answer
    x = 1,384,362.38

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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.