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Finding the Third Proportional to 588,520 and 832,984.50

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Solution

The third proportional to 588,520 and 832,984.50 is: 1,178,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,520 : 832,984.50 = 832,984.50 : x
  2. Step 2: Convert to fraction form
    588,520/832,984.50 = 832,984.50/x
  3. Step 3: Cross multiply
    588,520x = 832,984.50 × 832,984.50
  4. Step 4: Simplify right side
    588,520x = 693,863,177,240.25
  5. Step 5: Solve for x
    x = 693,863,177,240.25/588,520
  6. Step 6: Final answer
    x = 1,178,996.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.