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Finding the Third Proportional to 598,668.75 and 947,799

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Solution

The third proportional to 598,668.75 and 947,799 is: 1,500,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,668.75 : 947,799 = 947,799 : x
  2. Step 2: Convert to fraction form
    598,668.75/947,799 = 947,799/x
  3. Step 3: Cross multiply
    598,668.75x = 947,799 × 947,799
  4. Step 4: Simplify right side
    598,668.75x = 898,322,944,401
  5. Step 5: Solve for x
    x = 898,322,944,401/598,668.75
  6. Step 6: Final answer
    x = 1,500,534.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.