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Finding the Third Proportional to 354,630.66 and 530,693.02

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Solution

The third proportional to 354,630.66 and 530,693.02 is: 794,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,630.66 : 530,693.02 = 530,693.02 : x
  2. Step 2: Convert to fraction form
    354,630.66/530,693.02 = 530,693.02/x
  3. Step 3: Cross multiply
    354,630.66x = 530,693.02 × 530,693.02
  4. Step 4: Simplify right side
    354,630.66x = 281,635,076,833.16
  5. Step 5: Solve for x
    x = 281,635,076,833.16/354,630.66
  6. Step 6: Final answer
    x = 794,164.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.