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Finding the Third Proportional to 427,764 and 598,023

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Solution

The third proportional to 427,764 and 598,023 is: 836,048.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,764 : 598,023 = 598,023 : x
  2. Step 2: Convert to fraction form
    427,764/598,023 = 598,023/x
  3. Step 3: Cross multiply
    427,764x = 598,023 × 598,023
  4. Step 4: Simplify right side
    427,764x = 357,631,508,529
  5. Step 5: Solve for x
    x = 357,631,508,529/427,764
  6. Step 6: Final answer
    x = 836,048.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.