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Finding the Third Proportional to 598,600.13 and 947,700

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Solution

The third proportional to 598,600.13 and 947,700 is: 1,500,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,600.13 : 947,700 = 947,700 : x
  2. Step 2: Convert to fraction form
    598,600.13/947,700 = 947,700/x
  3. Step 3: Cross multiply
    598,600.13x = 947,700 × 947,700
  4. Step 4: Simplify right side
    598,600.13x = 898,135,290,000
  5. Step 5: Solve for x
    x = 898,135,290,000/598,600.13
  6. Step 6: Final answer
    x = 1,500,392.75

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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.