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Finding the Third Proportional to 598,502.81 and 839,818.13

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Solution

The third proportional to 598,502.81 and 839,818.13 is: 1,178,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,502.81 : 839,818.13 = 839,818.13 : x
  2. Step 2: Convert to fraction form
    598,502.81/839,818.13 = 839,818.13/x
  3. Step 3: Cross multiply
    598,502.81x = 839,818.13 × 839,818.13
  4. Step 4: Simplify right side
    598,502.81x = 705,294,483,078.52
  5. Step 5: Solve for x
    x = 705,294,483,078.52/598,502.81
  6. Step 6: Final answer
    x = 1,178,431.36

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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.