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Finding the Third Proportional to 592,150 and 899,303

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Solution

The third proportional to 592,150 and 899,303 is: 1,365,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,150 : 899,303 = 899,303 : x
  2. Step 2: Convert to fraction form
    592,150/899,303 = 899,303/x
  3. Step 3: Cross multiply
    592,150x = 899,303 × 899,303
  4. Step 4: Simplify right side
    592,150x = 808,745,885,809
  5. Step 5: Solve for x
    x = 808,745,885,809/592,150
  6. Step 6: Final answer
    x = 1,365,778.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.