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Finding the Third Proportional to 581,184 and 904,608

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Solution

The third proportional to 581,184 and 904,608 is: 1,408,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,184 : 904,608 = 904,608 : x
  2. Step 2: Convert to fraction form
    581,184/904,608 = 904,608/x
  3. Step 3: Cross multiply
    581,184x = 904,608 × 904,608
  4. Step 4: Simplify right side
    581,184x = 818,315,633,664
  5. Step 5: Solve for x
    x = 818,315,633,664/581,184
  6. Step 6: Final answer
    x = 1,408,014.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.