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Finding the Third Proportional to 601,593.75 and 899,349.75

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Solution

The third proportional to 601,593.75 and 899,349.75 is: 1,344,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,593.75 : 899,349.75 = 899,349.75 : x
  2. Step 2: Convert to fraction form
    601,593.75/899,349.75 = 899,349.75/x
  3. Step 3: Cross multiply
    601,593.75x = 899,349.75 × 899,349.75
  4. Step 4: Simplify right side
    601,593.75x = 808,829,972,825.06
  5. Step 5: Solve for x
    x = 808,829,972,825.06/601,593.75
  6. Step 6: Final answer
    x = 1,344,478.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.