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Finding the Third Proportional to 598,634 and 929,430

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Solution

The third proportional to 598,634 and 929,430 is: 1,443,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,634 : 929,430 = 929,430 : x
  2. Step 2: Convert to fraction form
    598,634/929,430 = 929,430/x
  3. Step 3: Cross multiply
    598,634x = 929,430 × 929,430
  4. Step 4: Simplify right side
    598,634x = 863,840,124,900
  5. Step 5: Solve for x
    x = 863,840,124,900/598,634
  6. Step 6: Final answer
    x = 1,443,018.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.